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Finding the Fourth Proportional to 396.38, 594.29 and 201.44

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Solution

The fourth proportional to 396.38, 594.29 and 201.44 is: 302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.38 : 594.29 = 201.44 : x
  2. Step 2: Convert to fraction form
    396.38/594.29 = 201.44/x
  3. Step 3: Cross multiply
    396.38x = 594.29 × 201.44
  4. Step 4: Simplify right side
    396.38x = 119,709.80
  5. Step 5: Solve for x
    x = 119,709.80/396.38
  6. Step 6: Final answer
    x = 302.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.