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Finding the Fourth Proportional to 394.97, 545.07 and 229.24

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Solution

The fourth proportional to 394.97, 545.07 and 229.24 is: 316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.97 : 545.07 = 229.24 : x
  2. Step 2: Convert to fraction form
    394.97/545.07 = 229.24/x
  3. Step 3: Cross multiply
    394.97x = 545.07 × 229.24
  4. Step 4: Simplify right side
    394.97x = 124,951.85
  5. Step 5: Solve for x
    x = 124,951.85/394.97
  6. Step 6: Final answer
    x = 316.36

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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.