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Finding the Fourth Proportional to 396.96, 593.82 and 339.18

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Solution

The fourth proportional to 396.96, 593.82 and 339.18 is: 507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.96 : 593.82 = 339.18 : x
  2. Step 2: Convert to fraction form
    396.96/593.82 = 339.18/x
  3. Step 3: Cross multiply
    396.96x = 593.82 × 339.18
  4. Step 4: Simplify right side
    396.96x = 201,411.87
  5. Step 5: Solve for x
    x = 201,411.87/396.96
  6. Step 6: Final answer
    x = 507.39

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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.