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Finding the Fourth Proportional to 324.44, 447.62 and 213.97

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Solution

The fourth proportional to 324.44, 447.62 and 213.97 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.44 : 447.62 = 213.97 : x
  2. Step 2: Convert to fraction form
    324.44/447.62 = 213.97/x
  3. Step 3: Cross multiply
    324.44x = 447.62 × 213.97
  4. Step 4: Simplify right side
    324.44x = 95,777.25
  5. Step 5: Solve for x
    x = 95,777.25/324.44
  6. Step 6: Final answer
    x = 295.21

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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.