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Finding the Fourth Proportional to 396.28, 594.41 and 165.11

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Solution

The fourth proportional to 396.28, 594.41 and 165.11 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.28 : 594.41 = 165.11 : x
  2. Step 2: Convert to fraction form
    396.28/594.41 = 165.11/x
  3. Step 3: Cross multiply
    396.28x = 594.41 × 165.11
  4. Step 4: Simplify right side
    396.28x = 98,143.04
  5. Step 5: Solve for x
    x = 98,143.04/396.28
  6. Step 6: Final answer
    x = 247.66

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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.