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Finding the Fourth Proportional to 324.62, 487.24 and 180.44

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Solution

The fourth proportional to 324.62, 487.24 and 180.44 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.62 : 487.24 = 180.44 : x
  2. Step 2: Convert to fraction form
    324.62/487.24 = 180.44/x
  3. Step 3: Cross multiply
    324.62x = 487.24 × 180.44
  4. Step 4: Simplify right side
    324.62x = 87,917.59
  5. Step 5: Solve for x
    x = 87,917.59/324.62
  6. Step 6: Final answer
    x = 270.83

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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.