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Finding the Fourth Proportional to 411.38, 616.97 and 122.75

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Solution

The fourth proportional to 411.38, 616.97 and 122.75 is: 184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.38 : 616.97 = 122.75 : x
  2. Step 2: Convert to fraction form
    411.38/616.97 = 122.75/x
  3. Step 3: Cross multiply
    411.38x = 616.97 × 122.75
  4. Step 4: Simplify right side
    411.38x = 75,732.45
  5. Step 5: Solve for x
    x = 75,732.45/411.38
  6. Step 6: Final answer
    x = 184.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.