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Finding the Fourth Proportional to 396.59, 546.81 and 278.63

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Solution

The fourth proportional to 396.59, 546.81 and 278.63 is: 384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.59 : 546.81 = 278.63 : x
  2. Step 2: Convert to fraction form
    396.59/546.81 = 278.63/x
  3. Step 3: Cross multiply
    396.59x = 546.81 × 278.63
  4. Step 4: Simplify right side
    396.59x = 152,354.94
  5. Step 5: Solve for x
    x = 152,354.94/396.59
  6. Step 6: Final answer
    x = 384.17

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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.