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Finding the Fourth Proportional to 397.04, 547.82 and 231.22

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Solution

The fourth proportional to 397.04, 547.82 and 231.22 is: 319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.04 : 547.82 = 231.22 : x
  2. Step 2: Convert to fraction form
    397.04/547.82 = 231.22/x
  3. Step 3: Cross multiply
    397.04x = 547.82 × 231.22
  4. Step 4: Simplify right side
    397.04x = 126,666.94
  5. Step 5: Solve for x
    x = 126,666.94/397.04
  6. Step 6: Final answer
    x = 319.03

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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.