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Finding the Fourth Proportional to 396.82, 547.67 and 286.45

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Solution

The fourth proportional to 396.82, 547.67 and 286.45 is: 395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.82 : 547.67 = 286.45 : x
  2. Step 2: Convert to fraction form
    396.82/547.67 = 286.45/x
  3. Step 3: Cross multiply
    396.82x = 547.67 × 286.45
  4. Step 4: Simplify right side
    396.82x = 156,880.07
  5. Step 5: Solve for x
    x = 156,880.07/396.82
  6. Step 6: Final answer
    x = 395.34

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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.