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Finding the Fourth Proportional to 411.73, 619.02 and 331.14

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Solution

The fourth proportional to 411.73, 619.02 and 331.14 is: 497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.73 : 619.02 = 331.14 : x
  2. Step 2: Convert to fraction form
    411.73/619.02 = 331.14/x
  3. Step 3: Cross multiply
    411.73x = 619.02 × 331.14
  4. Step 4: Simplify right side
    411.73x = 204,982.28
  5. Step 5: Solve for x
    x = 204,982.28/411.73
  6. Step 6: Final answer
    x = 497.86

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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.