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Finding the Fourth Proportional to 396.24, 594.46 and 122.33

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Solution

The fourth proportional to 396.24, 594.46 and 122.33 is: 183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.24 : 594.46 = 122.33 : x
  2. Step 2: Convert to fraction form
    396.24/594.46 = 122.33/x
  3. Step 3: Cross multiply
    396.24x = 594.46 × 122.33
  4. Step 4: Simplify right side
    396.24x = 72,721.93
  5. Step 5: Solve for x
    x = 72,721.93/396.24
  6. Step 6: Final answer
    x = 183.53

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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.