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Finding the Fourth Proportional to 324.27, 447.49 and 176.90

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Solution

The fourth proportional to 324.27, 447.49 and 176.90 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.27 : 447.49 = 176.90 : x
  2. Step 2: Convert to fraction form
    324.27/447.49 = 176.90/x
  3. Step 3: Cross multiply
    324.27x = 447.49 × 176.90
  4. Step 4: Simplify right side
    324.27x = 79,162.10
  5. Step 5: Solve for x
    x = 79,162.10/324.27
  6. Step 6: Final answer
    x = 244.13

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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.