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Finding the Fourth Proportional to 396.87, 547.86 and 265.96

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Solution

The fourth proportional to 396.87, 547.86 and 265.96 is: 367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.87 : 547.86 = 265.96 : x
  2. Step 2: Convert to fraction form
    396.87/547.86 = 265.96/x
  3. Step 3: Cross multiply
    396.87x = 547.86 × 265.96
  4. Step 4: Simplify right side
    396.87x = 145,708.85
  5. Step 5: Solve for x
    x = 145,708.85/396.87
  6. Step 6: Final answer
    x = 367.15

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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.