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Finding the Fourth Proportional to 324.26, 447.44 and 199.93

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Solution

The fourth proportional to 324.26, 447.44 and 199.93 is: 275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.26 : 447.44 = 199.93 : x
  2. Step 2: Convert to fraction form
    324.26/447.44 = 199.93/x
  3. Step 3: Cross multiply
    324.26x = 447.44 × 199.93
  4. Step 4: Simplify right side
    324.26x = 89,456.68
  5. Step 5: Solve for x
    x = 89,456.68/324.26
  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.