Question - an unknown length of platinum wire 0760mm in, Physics

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Question - an unknown length of platinum wire 0760mm in

Question - An unknown length of platinum wire 0.760mm in diameter is placed as the unknown resistance in a Wheatstone bridge (see the figure). Arms 1 and 2 have resistance of 38.0Ω and 55.0Ω, respectively. Balance is achieved when R₃ is 3.63 Ω. Resistivity of platinum is 10.6 x 10^-8.

How long is the platinum wire?

1305_Wheatstone bridge.png

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