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Finding the Fourth Proportional to 412.38, 618.62 and 138.56

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Solution

The fourth proportional to 412.38, 618.62 and 138.56 is: 207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 618.62 = 138.56 : x
  2. Step 2: Convert to fraction form
    412.38/618.62 = 138.56/x
  3. Step 3: Cross multiply
    412.38x = 618.62 × 138.56
  4. Step 4: Simplify right side
    412.38x = 85,712.20
  5. Step 5: Solve for x
    x = 85,712.20/412.38
  6. Step 6: Final answer
    x = 207.85

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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.