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Finding the Fourth Proportional to 396.94, 595.41 and 168.94

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Solution

The fourth proportional to 396.94, 595.41 and 168.94 is: 253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.94 : 595.41 = 168.94 : x
  2. Step 2: Convert to fraction form
    396.94/595.41 = 168.94/x
  3. Step 3: Cross multiply
    396.94x = 595.41 × 168.94
  4. Step 4: Simplify right side
    396.94x = 100,586.44
  5. Step 5: Solve for x
    x = 100,586.44/396.94
  6. Step 6: Final answer
    x = 253.41

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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.