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Finding the Fourth Proportional to 411.26, 616.37 and 180.09

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Solution

The fourth proportional to 411.26, 616.37 and 180.09 is: 269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.26 : 616.37 = 180.09 : x
  2. Step 2: Convert to fraction form
    411.26/616.37 = 180.09/x
  3. Step 3: Cross multiply
    411.26x = 616.37 × 180.09
  4. Step 4: Simplify right side
    411.26x = 111,001.17
  5. Step 5: Solve for x
    x = 111,001.17/411.26
  6. Step 6: Final answer
    x = 269.91

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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.