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Finding the Fourth Proportional to 348.28, 519.38 and 329.12

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Solution

The fourth proportional to 348.28, 519.38 and 329.12 is: 490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.28 : 519.38 = 329.12 : x
  2. Step 2: Convert to fraction form
    348.28/519.38 = 329.12/x
  3. Step 3: Cross multiply
    348.28x = 519.38 × 329.12
  4. Step 4: Simplify right side
    348.28x = 170,938.35
  5. Step 5: Solve for x
    x = 170,938.35/348.28
  6. Step 6: Final answer
    x = 490.81

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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.