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Finding the Fourth Proportional to 458.32, 686.57 and 275.62

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Solution

The fourth proportional to 458.32, 686.57 and 275.62 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.32 : 686.57 = 275.62 : x
  2. Step 2: Convert to fraction form
    458.32/686.57 = 275.62/x
  3. Step 3: Cross multiply
    458.32x = 686.57 × 275.62
  4. Step 4: Simplify right side
    458.32x = 189,227.61
  5. Step 5: Solve for x
    x = 189,227.61/458.32
  6. Step 6: Final answer
    x = 412.87

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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.