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Finding the Fourth Proportional to 349.27, 519.92 and 344.08

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Solution

The fourth proportional to 349.27, 519.92 and 344.08 is: 512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.27 : 519.92 = 344.08 : x
  2. Step 2: Convert to fraction form
    349.27/519.92 = 344.08/x
  3. Step 3: Cross multiply
    349.27x = 519.92 × 344.08
  4. Step 4: Simplify right side
    349.27x = 178,892.35
  5. Step 5: Solve for x
    x = 178,892.35/349.27
  6. Step 6: Final answer
    x = 512.19

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