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Finding the Fourth Proportional to 458.97, 631.50 and 396.70

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Solution

The fourth proportional to 458.97, 631.50 and 396.70 is: 545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.97 : 631.50 = 396.70 : x
  2. Step 2: Convert to fraction form
    458.97/631.50 = 396.70/x
  3. Step 3: Cross multiply
    458.97x = 631.50 × 396.70
  4. Step 4: Simplify right side
    458.97x = 250,512.98
  5. Step 5: Solve for x
    x = 250,512.98/458.97
  6. Step 6: Final answer
    x = 545.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.