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Finding the Fourth Proportional to 532.61, 734.96 and 296.54

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Solution

The fourth proportional to 532.61, 734.96 and 296.54 is: 409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.61 : 734.96 = 296.54 : x
  2. Step 2: Convert to fraction form
    532.61/734.96 = 296.54/x
  3. Step 3: Cross multiply
    532.61x = 734.96 × 296.54
  4. Step 4: Simplify right side
    532.61x = 217,947.03
  5. Step 5: Solve for x
    x = 217,947.03/532.61
  6. Step 6: Final answer
    x = 409.20

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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.