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Finding the Fourth Proportional to 396.91, 594.94 and 150.01

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Solution

The fourth proportional to 396.91, 594.94 and 150.01 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.91 : 594.94 = 150.01 : x
  2. Step 2: Convert to fraction form
    396.91/594.94 = 150.01/x
  3. Step 3: Cross multiply
    396.91x = 594.94 × 150.01
  4. Step 4: Simplify right side
    396.91x = 89,243.97
  5. Step 5: Solve for x
    x = 89,243.97/396.91
  6. Step 6: Final answer
    x = 224.85

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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.