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Finding the Fourth Proportional to 397.85, 548.97 and 229.82

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Solution

The fourth proportional to 397.85, 548.97 and 229.82 is: 317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.85 : 548.97 = 229.82 : x
  2. Step 2: Convert to fraction form
    397.85/548.97 = 229.82/x
  3. Step 3: Cross multiply
    397.85x = 548.97 × 229.82
  4. Step 4: Simplify right side
    397.85x = 126,161.54
  5. Step 5: Solve for x
    x = 126,161.54/397.85
  6. Step 6: Final answer
    x = 317.11

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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.