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Finding the Fourth Proportional to 532.38, 800.73 and 424.38

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Solution

The fourth proportional to 532.38, 800.73 and 424.38 is: 638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.38 : 800.73 = 424.38 : x
  2. Step 2: Convert to fraction form
    532.38/800.73 = 424.38/x
  3. Step 3: Cross multiply
    532.38x = 800.73 × 424.38
  4. Step 4: Simplify right side
    532.38x = 339,813.80
  5. Step 5: Solve for x
    x = 339,813.80/532.38
  6. Step 6: Final answer
    x = 638.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.