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Finding the Fourth Proportional to 411.32, 616.90 and 122.80

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Solution

The fourth proportional to 411.32, 616.90 and 122.80 is: 184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.32 : 616.90 = 122.80 : x
  2. Step 2: Convert to fraction form
    411.32/616.90 = 122.80/x
  3. Step 3: Cross multiply
    411.32x = 616.90 × 122.80
  4. Step 4: Simplify right side
    411.32x = 75,755.32
  5. Step 5: Solve for x
    x = 75,755.32/411.32
  6. Step 6: Final answer
    x = 184.18

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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.