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Finding the Fourth Proportional to 396.63, 547.25 and 249.21

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Solution

The fourth proportional to 396.63, 547.25 and 249.21 is: 343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 547.25 = 249.21 : x
  2. Step 2: Convert to fraction form
    396.63/547.25 = 249.21/x
  3. Step 3: Cross multiply
    396.63x = 547.25 × 249.21
  4. Step 4: Simplify right side
    396.63x = 136,378.93
  5. Step 5: Solve for x
    x = 136,378.93/396.63
  6. Step 6: Final answer
    x = 343.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.