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Finding the Fourth Proportional to 324.24, 447.44 and 176.88

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Solution

The fourth proportional to 324.24, 447.44 and 176.88 is: 244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 447.44 = 176.88 : x
  2. Step 2: Convert to fraction form
    324.24/447.44 = 176.88/x
  3. Step 3: Cross multiply
    324.24x = 447.44 × 176.88
  4. Step 4: Simplify right side
    324.24x = 79,143.19
  5. Step 5: Solve for x
    x = 79,143.19/324.24
  6. Step 6: Final answer
    x = 244.09

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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.