Test cricket's all-time leading run-scorer moved to 47 with a delightful punch to the point boundary but then fell to White, for the second time this series, in uncharacteristic fashion.
Southee picked himself up to dismiss Mike Hussey for nine but the game was firmly in Australia's grasp when Haddin was lured out of his crease by Vettori and White helped himself to an unbeaten 25 before Voges hit the winning boundary to finish on 13 not out.