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Finding the Fourth Proportional to 396.27, 591.35 and 348.28

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Solution

The fourth proportional to 396.27, 591.35 and 348.28 is: 519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.27 : 591.35 = 348.28 : x
  2. Step 2: Convert to fraction form
    396.27/591.35 = 348.28/x
  3. Step 3: Cross multiply
    396.27x = 591.35 × 348.28
  4. Step 4: Simplify right side
    396.27x = 205,955.38
  5. Step 5: Solve for x
    x = 205,955.38/396.27
  6. Step 6: Final answer
    x = 519.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.