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Finding the Fourth Proportional to 324.47, 447.78 and 177.11

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Solution

The fourth proportional to 324.47, 447.78 and 177.11 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.47 : 447.78 = 177.11 : x
  2. Step 2: Convert to fraction form
    324.47/447.78 = 177.11/x
  3. Step 3: Cross multiply
    324.47x = 447.78 × 177.11
  4. Step 4: Simplify right side
    324.47x = 79,306.68
  5. Step 5: Solve for x
    x = 79,306.68/324.47
  6. Step 6: Final answer
    x = 244.42

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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.