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Finding the Fourth Proportional to 480.02, 662.38 and 280.80

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Solution

The fourth proportional to 480.02, 662.38 and 280.80 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.02 : 662.38 = 280.80 : x
  2. Step 2: Convert to fraction form
    480.02/662.38 = 280.80/x
  3. Step 3: Cross multiply
    480.02x = 662.38 × 280.80
  4. Step 4: Simplify right side
    480.02x = 185,995.60
  5. Step 5: Solve for x
    x = 185,995.60/480.02
  6. Step 6: Final answer
    x = 387.48

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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.