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Finding the Fourth Proportional to 348.39, 480.78 and 217.44

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Solution

The fourth proportional to 348.39, 480.78 and 217.44 is: 300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.39 : 480.78 = 217.44 : x
  2. Step 2: Convert to fraction form
    348.39/480.78 = 217.44/x
  3. Step 3: Cross multiply
    348.39x = 480.78 × 217.44
  4. Step 4: Simplify right side
    348.39x = 104,540.80
  5. Step 5: Solve for x
    x = 104,540.80/348.39
  6. Step 6: Final answer
    x = 300.07

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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.