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Finding the Fourth Proportional to 396.53, 547.16 and 265.31

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Solution

The fourth proportional to 396.53, 547.16 and 265.31 is: 366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.53 : 547.16 = 265.31 : x
  2. Step 2: Convert to fraction form
    396.53/547.16 = 265.31/x
  3. Step 3: Cross multiply
    396.53x = 547.16 × 265.31
  4. Step 4: Simplify right side
    396.53x = 145,162.96
  5. Step 5: Solve for x
    x = 145,162.96/396.53
  6. Step 6: Final answer
    x = 366.09

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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.