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Finding the Fourth Proportional to 411.57, 617.32 and 133.92

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Solution

The fourth proportional to 411.57, 617.32 and 133.92 is: 200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.57 : 617.32 = 133.92 : x
  2. Step 2: Convert to fraction form
    411.57/617.32 = 133.92/x
  3. Step 3: Cross multiply
    411.57x = 617.32 × 133.92
  4. Step 4: Simplify right side
    411.57x = 82,671.49
  5. Step 5: Solve for x
    x = 82,671.49/411.57
  6. Step 6: Final answer
    x = 200.87

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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.