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Finding the Fourth Proportional to 348.57, 480.99 and 208.69

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Solution

The fourth proportional to 348.57, 480.99 and 208.69 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.57 : 480.99 = 208.69 : x
  2. Step 2: Convert to fraction form
    348.57/480.99 = 208.69/x
  3. Step 3: Cross multiply
    348.57x = 480.99 × 208.69
  4. Step 4: Simplify right side
    348.57x = 100,377.38
  5. Step 5: Solve for x
    x = 100,377.38/348.57
  6. Step 6: Final answer
    x = 287.97

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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.