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Finding the Fourth Proportional to 397.59, 548.67 and 231.80

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Solution

The fourth proportional to 397.59, 548.67 and 231.80 is: 319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.59 : 548.67 = 231.80 : x
  2. Step 2: Convert to fraction form
    397.59/548.67 = 231.80/x
  3. Step 3: Cross multiply
    397.59x = 548.67 × 231.80
  4. Step 4: Simplify right side
    397.59x = 127,178.96
  5. Step 5: Solve for x
    x = 127,178.96/397.59
  6. Step 6: Final answer
    x = 319.87

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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.