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Finding the Fourth Proportional to 349.38, 523.44 and 272.44

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Solution

The fourth proportional to 349.38, 523.44 and 272.44 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.38 : 523.44 = 272.44 : x
  2. Step 2: Convert to fraction form
    349.38/523.44 = 272.44/x
  3. Step 3: Cross multiply
    349.38x = 523.44 × 272.44
  4. Step 4: Simplify right side
    349.38x = 142,605.99
  5. Step 5: Solve for x
    x = 142,605.99/349.38
  6. Step 6: Final answer
    x = 408.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.