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Finding the Fourth Proportional to 396.96, 548.44 and 304.08

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Solution

The fourth proportional to 396.96, 548.44 and 304.08 is: 420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.96 : 548.44 = 304.08 : x
  2. Step 2: Convert to fraction form
    396.96/548.44 = 304.08/x
  3. Step 3: Cross multiply
    396.96x = 548.44 × 304.08
  4. Step 4: Simplify right side
    396.96x = 166,769.64
  5. Step 5: Solve for x
    x = 166,769.64/396.96
  6. Step 6: Final answer
    x = 420.12

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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.