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Finding the Fourth Proportional to 396.88, 596.52 and 387.64

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Solution

The fourth proportional to 396.88, 596.52 and 387.64 is: 582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.88 : 596.52 = 387.64 : x
  2. Step 2: Convert to fraction form
    396.88/596.52 = 387.64/x
  3. Step 3: Cross multiply
    396.88x = 596.52 × 387.64
  4. Step 4: Simplify right side
    396.88x = 231,235.01
  5. Step 5: Solve for x
    x = 231,235.01/396.88
  6. Step 6: Final answer
    x = 582.63

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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.