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Finding the Fourth Proportional to 396.78, 547.56 and 266.04

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Solution

The fourth proportional to 396.78, 547.56 and 266.04 is: 367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.78 : 547.56 = 266.04 : x
  2. Step 2: Convert to fraction form
    396.78/547.56 = 266.04/x
  3. Step 3: Cross multiply
    396.78x = 547.56 × 266.04
  4. Step 4: Simplify right side
    396.78x = 145,672.86
  5. Step 5: Solve for x
    x = 145,672.86/396.78
  6. Step 6: Final answer
    x = 367.14

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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.