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Finding the Fourth Proportional to 397.42, 548.42 and 231.72

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Solution

The fourth proportional to 397.42, 548.42 and 231.72 is: 319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.42 : 548.42 = 231.72 : x
  2. Step 2: Convert to fraction form
    397.42/548.42 = 231.72/x
  3. Step 3: Cross multiply
    397.42x = 548.42 × 231.72
  4. Step 4: Simplify right side
    397.42x = 127,079.88
  5. Step 5: Solve for x
    x = 127,079.88/397.42
  6. Step 6: Final answer
    x = 319.76

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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.