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Finding the Fourth Proportional to 324.20, 447.32 and 213.74

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Solution

The fourth proportional to 324.20, 447.32 and 213.74 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.20 : 447.32 = 213.74 : x
  2. Step 2: Convert to fraction form
    324.20/447.32 = 213.74/x
  3. Step 3: Cross multiply
    324.20x = 447.32 × 213.74
  4. Step 4: Simplify right side
    324.20x = 95,610.15
  5. Step 5: Solve for x
    x = 95,610.15/324.20
  6. Step 6: Final answer
    x = 294.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.