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Finding the Fourth Proportional to 396.09, 546.62 and 278.10

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Solution

The fourth proportional to 396.09, 546.62 and 278.10 is: 383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.09 : 546.62 = 278.10 : x
  2. Step 2: Convert to fraction form
    396.09/546.62 = 278.10/x
  3. Step 3: Cross multiply
    396.09x = 546.62 × 278.10
  4. Step 4: Simplify right side
    396.09x = 152,013.63
  5. Step 5: Solve for x
    x = 152,013.63/396.09
  6. Step 6: Final answer
    x = 383.79

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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.