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Finding the Fourth Proportional to 411.39, 616.87 and 180.17

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Solution

The fourth proportional to 411.39, 616.87 and 180.17 is: 270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.39 : 616.87 = 180.17 : x
  2. Step 2: Convert to fraction form
    411.39/616.87 = 180.17/x
  3. Step 3: Cross multiply
    411.39x = 616.87 × 180.17
  4. Step 4: Simplify right side
    411.39x = 111,144.90
  5. Step 5: Solve for x
    x = 111,144.90/411.39
  6. Step 6: Final answer
    x = 270.17

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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.