If I'm reading the table correctly, your 77, .250 savage was made in 1974. You can double check me by going to the ruger website and clicking on Customer Service. Next click on product history, and then rifle product history, which will give you tables of years versus serial numbers.
I THINK (not sure) that ruger used a 1 in 10 twist in all its .250 savage chamberings. Matter of fact, according to the references I can find, the 1 in 10 twist was used by ruger in all its .25 caliber chamberings in all model rifles. My 77 RSI, .250 savage, manufactured in 1987, has a 1 in 10 twist. I was curious, and so I just now measured it. Good to know, although I've never used anything heavier than a 100 grain bullet in it.