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Finding the Fourth Proportional to 324.30, 447.49 and 199.94

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Solution

The fourth proportional to 324.30, 447.49 and 199.94 is: 275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 447.49 = 199.94 : x
  2. Step 2: Convert to fraction form
    324.30/447.49 = 199.94/x
  3. Step 3: Cross multiply
    324.30x = 447.49 × 199.94
  4. Step 4: Simplify right side
    324.30x = 89,469.16
  5. Step 5: Solve for x
    x = 89,469.16/324.30
  6. Step 6: Final answer
    x = 275.88

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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.