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Finding the Fourth Proportional to 532.68, 732.90 and 416.04

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Solution

The fourth proportional to 532.68, 732.90 and 416.04 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.68 : 732.90 = 416.04 : x
  2. Step 2: Convert to fraction form
    532.68/732.90 = 416.04/x
  3. Step 3: Cross multiply
    532.68x = 732.90 × 416.04
  4. Step 4: Simplify right side
    532.68x = 304,915.72
  5. Step 5: Solve for x
    x = 304,915.72/532.68
  6. Step 6: Final answer
    x = 572.42

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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.