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Finding the Fourth Proportional to 397.27, 548.19 and 231.54

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Solution

The fourth proportional to 397.27, 548.19 and 231.54 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.27 : 548.19 = 231.54 : x
  2. Step 2: Convert to fraction form
    397.27/548.19 = 231.54/x
  3. Step 3: Cross multiply
    397.27x = 548.19 × 231.54
  4. Step 4: Simplify right side
    397.27x = 126,927.91
  5. Step 5: Solve for x
    x = 126,927.91/397.27
  6. Step 6: Final answer
    x = 319.50

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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.