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Finding the Fourth Proportional to 396.48, 595.64 and 234.28

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Solution

The fourth proportional to 396.48, 595.64 and 234.28 is: 351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.48 : 595.64 = 234.28 : x
  2. Step 2: Convert to fraction form
    396.48/595.64 = 234.28/x
  3. Step 3: Cross multiply
    396.48x = 595.64 × 234.28
  4. Step 4: Simplify right side
    396.48x = 139,546.54
  5. Step 5: Solve for x
    x = 139,546.54/396.48
  6. Step 6: Final answer
    x = 351.96

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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.