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Finding the Fourth Proportional to 397.37, 548.31 and 231.56

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Solution

The fourth proportional to 397.37, 548.31 and 231.56 is: 319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.37 : 548.31 = 231.56 : x
  2. Step 2: Convert to fraction form
    397.37/548.31 = 231.56/x
  3. Step 3: Cross multiply
    397.37x = 548.31 × 231.56
  4. Step 4: Simplify right side
    397.37x = 126,963.92
  5. Step 5: Solve for x
    x = 126,963.92/397.37
  6. Step 6: Final answer
    x = 319.51

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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.