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Finding the Fourth Proportional to 396.82, 547.38 and 278.74

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Solution

The fourth proportional to 396.82, 547.38 and 278.74 is: 384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.82 : 547.38 = 278.74 : x
  2. Step 2: Convert to fraction form
    396.82/547.38 = 278.74/x
  3. Step 3: Cross multiply
    396.82x = 547.38 × 278.74
  4. Step 4: Simplify right side
    396.82x = 152,577.39
  5. Step 5: Solve for x
    x = 152,577.39/396.82
  6. Step 6: Final answer
    x = 384.50

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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.