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I had an issue that has been bugging me for sometime. – One I must admit to being purely my own fault. 
One of the first things I bought for the lathe not quite 12 months ago was a 4 jaw Bison chuck. I was at the Harrogate show with coins in my pocket and quickly snaffled the new chuck from one vendor and a cheap D1-3 backplate to mount it on from another. …………………… It was not until I got home that I realised the PCD of the D1-3 studs was near as damit the same as the 4 Jaws mounting ones. 
This meant that one of the 4 chuck bolts was always going to be a hit onto the top of one of the three in the backplate. Oh dear.!
Now being full of gusto and not wanting to loose the nice new Bison chuck I had purchased I pondered and considered that as I would only be making lightish cuts that mounting the chuck with just three bolts 'maybe' would be OK. And to a point it may have been. …………. That is had I not made a cobblers of the size of the register in the backplate. (undersize)
It was usable. But it always bugged me. – I had the idea that using an extra adaptor plate between the backplate and the chuck would solve the issue. But adding weight the the chuck unit, which I am not sure of the pro's and con's of.? (advice please)
The other day at a friend of mines workshop he donated a piece of steel that had been cut out of something else that would be suitable.
I am not sure (and he cannot remember) what grade of steel it is. But it beautiful to machine.
It is magnetic so it ain't stainless. and the swarf when taking a reasonable cut turns a pale brassy tone. But I would like to know what it is though.?
Anyway. This is what I did. :-
The only chuck I had large enough to hold it was the guilty 4 jaw. I faced it off and machined the female rebate into it that would key onto the new one I would cut on the cast backplate. Drilled the center out and bored it to the same size as the chuck bore.

Some PCD holes to give clearance for the M8 mounting bolts, followed by an end mill to countersink them.




I then cut the male register on the cast iron backplate. (the correct size this time
. ) This was followed by corresponding tapped holes to match the adaptor plate. The plates were then mounted together. The other side then faced and a register to match that of the chuck.
Some more PCD holes for the four M10 chuck mounting bolts.

And here it is ready to have the chuck mounted.
But this time with 4 bolts and the correct size register.! 

Nick