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Finding the Fourth Proportional to 397.82, 548.96 and 229.65

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Solution

The fourth proportional to 397.82, 548.96 and 229.65 is: 316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 548.96 = 229.65 : x
  2. Step 2: Convert to fraction form
    397.82/548.96 = 229.65/x
  3. Step 3: Cross multiply
    397.82x = 548.96 × 229.65
  4. Step 4: Simplify right side
    397.82x = 126,066.72
  5. Step 5: Solve for x
    x = 126,066.72/397.82
  6. Step 6: Final answer
    x = 316.90

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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.