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Finding the Fourth Proportional to 324.20, 447.06 and 225.92

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Solution

The fourth proportional to 324.20, 447.06 and 225.92 is: 311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.20 : 447.06 = 225.92 : x
  2. Step 2: Convert to fraction form
    324.20/447.06 = 225.92/x
  3. Step 3: Cross multiply
    324.20x = 447.06 × 225.92
  4. Step 4: Simplify right side
    324.20x = 100,999.80
  5. Step 5: Solve for x
    x = 100,999.80/324.20
  6. Step 6: Final answer
    x = 311.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.