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Finding the Fourth Proportional to 324.29, 447.52 and 191.48

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Solution

The fourth proportional to 324.29, 447.52 and 191.48 is: 264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.29 : 447.52 = 191.48 : x
  2. Step 2: Convert to fraction form
    324.29/447.52 = 191.48/x
  3. Step 3: Cross multiply
    324.29x = 447.52 × 191.48
  4. Step 4: Simplify right side
    324.29x = 85,691.13
  5. Step 5: Solve for x
    x = 85,691.13/324.29
  6. Step 6: Final answer
    x = 264.24

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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.