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Finding the Fourth Proportional to 324.29, 446.76 and 225.87

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Solution

The fourth proportional to 324.29, 446.76 and 225.87 is: 311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.29 : 446.76 = 225.87 : x
  2. Step 2: Convert to fraction form
    324.29/446.76 = 225.87/x
  3. Step 3: Cross multiply
    324.29x = 446.76 × 225.87
  4. Step 4: Simplify right side
    324.29x = 100,909.68
  5. Step 5: Solve for x
    x = 100,909.68/324.29
  6. Step 6: Final answer
    x = 311.17

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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.