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Finding the Fourth Proportional to 664.10, 996.60 and 458.87

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Solution

The fourth proportional to 664.10, 996.60 and 458.87 is: 688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.10 : 996.60 = 458.87 : x
  2. Step 2: Convert to fraction form
    664.10/996.60 = 458.87/x
  3. Step 3: Cross multiply
    664.10x = 996.60 × 458.87
  4. Step 4: Simplify right side
    664.10x = 457,306.58
  5. Step 5: Solve for x
    x = 457,306.58/664.10
  6. Step 6: Final answer
    x = 688.61

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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.