A wire having a linear mass density \( 9.0 \times 10^{-4} \, \text{kg} / \text{m} \) is stretched between two rigid supports with a tension of \( 900 \, \text{N} \). The wire resonates at a frequency of \( 500 \, \text{Hz} \). The next higher frequency at which the same wire resonates is \( 550 \, \text{Hz} \). The length of the wire is ________ \( \text{m} \).
