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Finding the Fourth Proportional to 396.20, 594.21 and 201.08

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Solution

The fourth proportional to 396.20, 594.21 and 201.08 is: 301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.20 : 594.21 = 201.08 : x
  2. Step 2: Convert to fraction form
    396.20/594.21 = 201.08/x
  3. Step 3: Cross multiply
    396.20x = 594.21 × 201.08
  4. Step 4: Simplify right side
    396.20x = 119,483.75
  5. Step 5: Solve for x
    x = 119,483.75/396.20
  6. Step 6: Final answer
    x = 301.57

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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.