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Finding the Fourth Proportional to 396.61, 594.78 and 153.22

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Solution

The fourth proportional to 396.61, 594.78 and 153.22 is: 229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.61 : 594.78 = 153.22 : x
  2. Step 2: Convert to fraction form
    396.61/594.78 = 153.22/x
  3. Step 3: Cross multiply
    396.61x = 594.78 × 153.22
  4. Step 4: Simplify right side
    396.61x = 91,132.19
  5. Step 5: Solve for x
    x = 91,132.19/396.61
  6. Step 6: Final answer
    x = 229.78

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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.