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Finding the Fourth Proportional to 472.92, 709.32 and 381.12

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Solution

The fourth proportional to 472.92, 709.32 and 381.12 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.92 : 709.32 = 381.12 : x
  2. Step 2: Convert to fraction form
    472.92/709.32 = 381.12/x
  3. Step 3: Cross multiply
    472.92x = 709.32 × 381.12
  4. Step 4: Simplify right side
    472.92x = 270,336.04
  5. Step 5: Solve for x
    x = 270,336.04/472.92
  6. Step 6: Final answer
    x = 571.63

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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.