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Finding the Fourth Proportional to 655.38, 981.42 and 411.12

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Solution

The fourth proportional to 655.38, 981.42 and 411.12 is: 615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.38 : 981.42 = 411.12 : x
  2. Step 2: Convert to fraction form
    655.38/981.42 = 411.12/x
  3. Step 3: Cross multiply
    655.38x = 981.42 × 411.12
  4. Step 4: Simplify right side
    655.38x = 403,481.39
  5. Step 5: Solve for x
    x = 403,481.39/655.38
  6. Step 6: Final answer
    x = 615.64

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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.