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Not enough info to give a reasonable answer.
What kind of stock?
Was the other barreled action that the sock was used for factory barrel or custom barrel--whats yours?
Did you try it yet?
How are the clearances?
Same type recoil lug? etc.
For the BEST fit and for ULTIMATE accuracy, you should re-bed--most guys do.
If the fit is close, its a very minor thing to bed it.
Even if everything is factory on both rifles, production tolerances can very enough to make a difference.
Dipper
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