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Finding the Fourth Proportional to 396.26, 594.42 and 203.92

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Solution

The fourth proportional to 396.26, 594.42 and 203.92 is: 305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.26 : 594.42 = 203.92 : x
  2. Step 2: Convert to fraction form
    396.26/594.42 = 203.92/x
  3. Step 3: Cross multiply
    396.26x = 594.42 × 203.92
  4. Step 4: Simplify right side
    396.26x = 121,214.13
  5. Step 5: Solve for x
    x = 121,214.13/396.26
  6. Step 6: Final answer
    x = 305.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.