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Finding the Fourth Proportional to 348.57, 481.01 and 208.70

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Solution

The fourth proportional to 348.57, 481.01 and 208.70 is: 287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.57 : 481.01 = 208.70 : x
  2. Step 2: Convert to fraction form
    348.57/481.01 = 208.70/x
  3. Step 3: Cross multiply
    348.57x = 481.01 × 208.70
  4. Step 4: Simplify right side
    348.57x = 100,385.14
  5. Step 5: Solve for x
    x = 100,385.14/348.57
  6. Step 6: Final answer
    x = 287.99

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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.