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Finding the Fourth Proportional to 348.66, 480.84 and 208.80

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Solution

The fourth proportional to 348.66, 480.84 and 208.80 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.66 : 480.84 = 208.80 : x
  2. Step 2: Convert to fraction form
    348.66/480.84 = 208.80/x
  3. Step 3: Cross multiply
    348.66x = 480.84 × 208.80
  4. Step 4: Simplify right side
    348.66x = 100,399.39
  5. Step 5: Solve for x
    x = 100,399.39/348.66
  6. Step 6: Final answer
    x = 287.96

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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.