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Finding the Fourth Proportional to 324.20, 447.46 and 230.92

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Solution

The fourth proportional to 324.20, 447.46 and 230.92 is: 318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.20 : 447.46 = 230.92 : x
  2. Step 2: Convert to fraction form
    324.20/447.46 = 230.92/x
  3. Step 3: Cross multiply
    324.20x = 447.46 × 230.92
  4. Step 4: Simplify right side
    324.20x = 103,327.46
  5. Step 5: Solve for x
    x = 103,327.46/324.20
  6. Step 6: Final answer
    x = 318.72

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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.