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If $$\frac{k - k\cot^{2}30^{\circ}}{1+\cot^{2}30^{\circ}} = \sin^{2}60^{\circ} + 4\tan^{2}45^{\circ}-\cosec^{2}60^{\circ}$$, then the value of k (correct to two decimal places) is:
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