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Finding the Fourth Proportional to 411.78, 616.85 and 329.68

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Solution

The fourth proportional to 411.78, 616.85 and 329.68 is: 493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.78 : 616.85 = 329.68 : x
  2. Step 2: Convert to fraction form
    411.78/616.85 = 329.68/x
  3. Step 3: Cross multiply
    411.78x = 616.85 × 329.68
  4. Step 4: Simplify right side
    411.78x = 203,358.38
  5. Step 5: Solve for x
    x = 203,358.38/411.78
  6. Step 6: Final answer
    x = 493.85

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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.