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Finding the Fourth Proportional to 411.24, 616.87 and 133.59

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Solution

The fourth proportional to 411.24, 616.87 and 133.59 is: 200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 616.87 = 133.59 : x
  2. Step 2: Convert to fraction form
    411.24/616.87 = 133.59/x
  3. Step 3: Cross multiply
    411.24x = 616.87 × 133.59
  4. Step 4: Simplify right side
    411.24x = 82,405.05
  5. Step 5: Solve for x
    x = 82,405.05/411.24
  6. Step 6: Final answer
    x = 200.38

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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.