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Finding the Fourth Proportional to 532.71, 735.17 and 299.84

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Solution

The fourth proportional to 532.71, 735.17 and 299.84 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.71 : 735.17 = 299.84 : x
  2. Step 2: Convert to fraction form
    532.71/735.17 = 299.84/x
  3. Step 3: Cross multiply
    532.71x = 735.17 × 299.84
  4. Step 4: Simplify right side
    532.71x = 220,428.20
  5. Step 5: Solve for x
    x = 220,428.20/532.71
  6. Step 6: Final answer
    x = 413.79

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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.