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Finding the Fourth Proportional to 532.24, 734.49 and 296.19

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Solution

The fourth proportional to 532.24, 734.49 and 296.19 is: 408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.24 : 734.49 = 296.19 : x
  2. Step 2: Convert to fraction form
    532.24/734.49 = 296.19/x
  3. Step 3: Cross multiply
    532.24x = 734.49 × 296.19
  4. Step 4: Simplify right side
    532.24x = 217,548.59
  5. Step 5: Solve for x
    x = 217,548.59/532.24
  6. Step 6: Final answer
    x = 408.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.