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Finding the Fourth Proportional to 396.26, 593.33 and 309.15

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Solution

The fourth proportional to 396.26, 593.33 and 309.15 is: 462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.26 : 593.33 = 309.15 : x
  2. Step 2: Convert to fraction form
    396.26/593.33 = 309.15/x
  3. Step 3: Cross multiply
    396.26x = 593.33 × 309.15
  4. Step 4: Simplify right side
    396.26x = 183,426.42
  5. Step 5: Solve for x
    x = 183,426.42/396.26
  6. Step 6: Final answer
    x = 462.90

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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.