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Finding the Fourth Proportional to 424.44, 636.59 and 180.97

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Solution

The fourth proportional to 424.44, 636.59 and 180.97 is: 271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.44 : 636.59 = 180.97 : x
  2. Step 2: Convert to fraction form
    424.44/636.59 = 180.97/x
  3. Step 3: Cross multiply
    424.44x = 636.59 × 180.97
  4. Step 4: Simplify right side
    424.44x = 115,202.55
  5. Step 5: Solve for x
    x = 115,202.55/424.44
  6. Step 6: Final answer
    x = 271.42

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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.