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Finding the Fourth Proportional to 458.38, 688.02 and 321.04

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Solution

The fourth proportional to 458.38, 688.02 and 321.04 is: 481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.38 : 688.02 = 321.04 : x
  2. Step 2: Convert to fraction form
    458.38/688.02 = 321.04/x
  3. Step 3: Cross multiply
    458.38x = 688.02 × 321.04
  4. Step 4: Simplify right side
    458.38x = 220,881.94
  5. Step 5: Solve for x
    x = 220,881.94/458.38
  6. Step 6: Final answer
    x = 481.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.