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Finding the Fourth Proportional to 396.41, 546.99 and 249.01

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Solution

The fourth proportional to 396.41, 546.99 and 249.01 is: 343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.41 : 546.99 = 249.01 : x
  2. Step 2: Convert to fraction form
    396.41/546.99 = 249.01/x
  3. Step 3: Cross multiply
    396.41x = 546.99 × 249.01
  4. Step 4: Simplify right side
    396.41x = 136,207.04
  5. Step 5: Solve for x
    x = 136,207.04/396.41
  6. Step 6: Final answer
    x = 343.60

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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.