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Finding the Fourth Proportional to 532.62, 735.36 and 364.85

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Solution

The fourth proportional to 532.62, 735.36 and 364.85 is: 503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.62 : 735.36 = 364.85 : x
  2. Step 2: Convert to fraction form
    532.62/735.36 = 364.85/x
  3. Step 3: Cross multiply
    532.62x = 735.36 × 364.85
  4. Step 4: Simplify right side
    532.62x = 268,294.27
  5. Step 5: Solve for x
    x = 268,294.27/532.62
  6. Step 6: Final answer
    x = 503.73

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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.