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Finding the Fourth Proportional to 480.28, 720.62 and 191.80

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Solution

The fourth proportional to 480.28, 720.62 and 191.80 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.28 : 720.62 = 191.80 : x
  2. Step 2: Convert to fraction form
    480.28/720.62 = 191.80/x
  3. Step 3: Cross multiply
    480.28x = 720.62 × 191.80
  4. Step 4: Simplify right side
    480.28x = 138,214.92
  5. Step 5: Solve for x
    x = 138,214.92/480.28
  6. Step 6: Final answer
    x = 287.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.