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Finding the Fourth Proportional to 396.50, 547.22 and 286.34

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Solution

The fourth proportional to 396.50, 547.22 and 286.34 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 547.22 = 286.34 : x
  2. Step 2: Convert to fraction form
    396.50/547.22 = 286.34/x
  3. Step 3: Cross multiply
    396.50x = 547.22 × 286.34
  4. Step 4: Simplify right side
    396.50x = 156,690.97
  5. Step 5: Solve for x
    x = 156,690.97/396.50
  6. Step 6: Final answer
    x = 395.19

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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.