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Finding the Fourth Proportional to 532.35, 737.81 and 524.46

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Solution

The fourth proportional to 532.35, 737.81 and 524.46 is: 726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 737.81 = 524.46 : x
  2. Step 2: Convert to fraction form
    532.35/737.81 = 524.46/x
  3. Step 3: Cross multiply
    532.35x = 737.81 × 524.46
  4. Step 4: Simplify right side
    532.35x = 386,949.21
  5. Step 5: Solve for x
    x = 386,949.21/532.35
  6. Step 6: Final answer
    x = 726.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.