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Finding the Fourth Proportional to 397.67, 548.82 and 231.89

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Solution

The fourth proportional to 397.67, 548.82 and 231.89 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.67 : 548.82 = 231.89 : x
  2. Step 2: Convert to fraction form
    397.67/548.82 = 231.89/x
  3. Step 3: Cross multiply
    397.67x = 548.82 × 231.89
  4. Step 4: Simplify right side
    397.67x = 127,263.13
  5. Step 5: Solve for x
    x = 127,263.13/397.67
  6. Step 6: Final answer
    x = 320.03

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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.