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Finding the Fourth Proportional to 396.48, 593.84 and 385.54

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Solution

The fourth proportional to 396.48, 593.84 and 385.54 is: 577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.48 : 593.84 = 385.54 : x
  2. Step 2: Convert to fraction form
    396.48/593.84 = 385.54/x
  3. Step 3: Cross multiply
    396.48x = 593.84 × 385.54
  4. Step 4: Simplify right side
    396.48x = 228,949.07
  5. Step 5: Solve for x
    x = 228,949.07/396.48
  6. Step 6: Final answer
    x = 577.45

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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.