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Finding the Fourth Proportional to 324.30, 447.20 and 230.88

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Solution

The fourth proportional to 324.30, 447.20 and 230.88 is: 318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 447.20 = 230.88 : x
  2. Step 2: Convert to fraction form
    324.30/447.20 = 230.88/x
  3. Step 3: Cross multiply
    324.30x = 447.20 × 230.88
  4. Step 4: Simplify right side
    324.30x = 103,249.54
  5. Step 5: Solve for x
    x = 103,249.54/324.30
  6. Step 6: Final answer
    x = 318.38

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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.