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Finding the Fourth Proportional to 396.99, 594.96 and 213.99

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Solution

The fourth proportional to 396.99, 594.96 and 213.99 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.99 : 594.96 = 213.99 : x
  2. Step 2: Convert to fraction form
    396.99/594.96 = 213.99/x
  3. Step 3: Cross multiply
    396.99x = 594.96 × 213.99
  4. Step 4: Simplify right side
    396.99x = 127,315.49
  5. Step 5: Solve for x
    x = 127,315.49/396.99
  6. Step 6: Final answer
    x = 320.70

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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.