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Number Sequencing

A friend gave a set of numbers, and I am completely stumped.

Find the next number is the sequence:

408, 571, 332, 377, 577, 989, 664, ___

$408*\sqrt{2} = 576.9991...$

$571*\sqrt{3} = 989.0010...$

$332*\sqrt{4} = 664$

$377*\sqrt{5} = ...$

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