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Finding the Fourth Proportional to 396.62, 594.98 and 165.37

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Solution

The fourth proportional to 396.62, 594.98 and 165.37 is: 248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.62 : 594.98 = 165.37 : x
  2. Step 2: Convert to fraction form
    396.62/594.98 = 165.37/x
  3. Step 3: Cross multiply
    396.62x = 594.98 × 165.37
  4. Step 4: Simplify right side
    396.62x = 98,391.84
  5. Step 5: Solve for x
    x = 98,391.84/396.62
  6. Step 6: Final answer
    x = 248.08

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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.