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Finding the Fourth Proportional to 396.45, 547.02 and 239.07

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Solution

The fourth proportional to 396.45, 547.02 and 239.07 is: 329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.45 : 547.02 = 239.07 : x
  2. Step 2: Convert to fraction form
    396.45/547.02 = 239.07/x
  3. Step 3: Cross multiply
    396.45x = 547.02 × 239.07
  4. Step 4: Simplify right side
    396.45x = 130,776.07
  5. Step 5: Solve for x
    x = 130,776.07/396.45
  6. Step 6: Final answer
    x = 329.87

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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.