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Finding the Fourth Proportional to 396.60, 546.96 and 265.60

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Solution

The fourth proportional to 396.60, 546.96 and 265.60 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.60 : 546.96 = 265.60 : x
  2. Step 2: Convert to fraction form
    396.60/546.96 = 265.60/x
  3. Step 3: Cross multiply
    396.60x = 546.96 × 265.60
  4. Step 4: Simplify right side
    396.60x = 145,272.58
  5. Step 5: Solve for x
    x = 145,272.58/396.60
  6. Step 6: Final answer
    x = 366.29

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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.