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Finding the Fourth Proportional to 324.11, 447.46 and 213.85

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Solution

The fourth proportional to 324.11, 447.46 and 213.85 is: 295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.11 : 447.46 = 213.85 : x
  2. Step 2: Convert to fraction form
    324.11/447.46 = 213.85/x
  3. Step 3: Cross multiply
    324.11x = 447.46 × 213.85
  4. Step 4: Simplify right side
    324.11x = 95,689.35
  5. Step 5: Solve for x
    x = 95,689.35/324.11
  6. Step 6: Final answer
    x = 295.23

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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.