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Finding the Fourth Proportional to 397.02, 547.89 and 231.24

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Solution

The fourth proportional to 397.02, 547.89 and 231.24 is: 319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.02 : 547.89 = 231.24 : x
  2. Step 2: Convert to fraction form
    397.02/547.89 = 231.24/x
  3. Step 3: Cross multiply
    397.02x = 547.89 × 231.24
  4. Step 4: Simplify right side
    397.02x = 126,694.08
  5. Step 5: Solve for x
    x = 126,694.08/397.02
  6. Step 6: Final answer
    x = 319.11

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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.