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Finding the Fourth Proportional to 397.49, 548.50 and 231.69

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Solution

The fourth proportional to 397.49, 548.50 and 231.69 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.49 : 548.50 = 231.69 : x
  2. Step 2: Convert to fraction form
    397.49/548.50 = 231.69/x
  3. Step 3: Cross multiply
    397.49x = 548.50 × 231.69
  4. Step 4: Simplify right side
    397.49x = 127,081.97
  5. Step 5: Solve for x
    x = 127,081.97/397.49
  6. Step 6: Final answer
    x = 319.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.