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Finding the Fourth Proportional to 397.24, 548.21 and 231.50

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Solution

The fourth proportional to 397.24, 548.21 and 231.50 is: 319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.24 : 548.21 = 231.50 : x
  2. Step 2: Convert to fraction form
    397.24/548.21 = 231.50/x
  3. Step 3: Cross multiply
    397.24x = 548.21 × 231.50
  4. Step 4: Simplify right side
    397.24x = 126,910.62
  5. Step 5: Solve for x
    x = 126,910.62/397.24
  6. Step 6: Final answer
    x = 319.48

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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.