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Finding the Fourth Proportional to 396.24, 593.98 and 190.69

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Solution

The fourth proportional to 396.24, 593.98 and 190.69 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.24 : 593.98 = 190.69 : x
  2. Step 2: Convert to fraction form
    396.24/593.98 = 190.69/x
  3. Step 3: Cross multiply
    396.24x = 593.98 × 190.69
  4. Step 4: Simplify right side
    396.24x = 113,266.05
  5. Step 5: Solve for x
    x = 113,266.05/396.24
  6. Step 6: Final answer
    x = 285.85

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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.