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Finding the Fourth Proportional to 458.91, 688.36 and 129.85

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Solution

The fourth proportional to 458.91, 688.36 and 129.85 is: 194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.91 : 688.36 = 129.85 : x
  2. Step 2: Convert to fraction form
    458.91/688.36 = 129.85/x
  3. Step 3: Cross multiply
    458.91x = 688.36 × 129.85
  4. Step 4: Simplify right side
    458.91x = 89,380.89
  5. Step 5: Solve for x
    x = 89,380.89/458.91
  6. Step 6: Final answer
    x = 194.77

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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.