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Finding the Fourth Proportional to 498.15, 748.17 and 390.69

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Solution

The fourth proportional to 498.15, 748.17 and 390.69 is: 586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 748.17 = 390.69 : x
  2. Step 2: Convert to fraction form
    498.15/748.17 = 390.69/x
  3. Step 3: Cross multiply
    498.15x = 748.17 × 390.69
  4. Step 4: Simplify right side
    498.15x = 292,302.54
  5. Step 5: Solve for x
    x = 292,302.54/498.15
  6. Step 6: Final answer
    x = 586.78

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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.