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Finding the Fourth Proportional to 397.46, 548.46 and 231.74

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Solution

The fourth proportional to 397.46, 548.46 and 231.74 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.46 : 548.46 = 231.74 : x
  2. Step 2: Convert to fraction form
    397.46/548.46 = 231.74/x
  3. Step 3: Cross multiply
    397.46x = 548.46 × 231.74
  4. Step 4: Simplify right side
    397.46x = 127,100.12
  5. Step 5: Solve for x
    x = 127,100.12/397.46
  6. Step 6: Final answer
    x = 319.78

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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.