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Finding the Fourth Proportional to 458.11, 686.37 and 381.57

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Solution

The fourth proportional to 458.11, 686.37 and 381.57 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.11 : 686.37 = 381.57 : x
  2. Step 2: Convert to fraction form
    458.11/686.37 = 381.57/x
  3. Step 3: Cross multiply
    458.11x = 686.37 × 381.57
  4. Step 4: Simplify right side
    458.11x = 261,898.20
  5. Step 5: Solve for x
    x = 261,898.20/458.11
  6. Step 6: Final answer
    x = 571.69

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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.