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Finding the Fourth Proportional to 458.60, 688.20 and 456.92

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Solution

The fourth proportional to 458.60, 688.20 and 456.92 is: 685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 688.20 = 456.92 : x
  2. Step 2: Convert to fraction form
    458.60/688.20 = 456.92/x
  3. Step 3: Cross multiply
    458.60x = 688.20 × 456.92
  4. Step 4: Simplify right side
    458.60x = 314,452.34
  5. Step 5: Solve for x
    x = 314,452.34/458.60
  6. Step 6: Final answer
    x = 685.68

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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.