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Finding the Fourth Proportional to 396.77, 547.53 and 224.09

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Solution

The fourth proportional to 396.77, 547.53 and 224.09 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.77 : 547.53 = 224.09 : x
  2. Step 2: Convert to fraction form
    396.77/547.53 = 224.09/x
  3. Step 3: Cross multiply
    396.77x = 547.53 × 224.09
  4. Step 4: Simplify right side
    396.77x = 122,694.47
  5. Step 5: Solve for x
    x = 122,694.47/396.77
  6. Step 6: Final answer
    x = 309.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.