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Finding the Fourth Proportional to 480.80, 720.96 and 206.76

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Solution

The fourth proportional to 480.80, 720.96 and 206.76 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.80 : 720.96 = 206.76 : x
  2. Step 2: Convert to fraction form
    480.80/720.96 = 206.76/x
  3. Step 3: Cross multiply
    480.80x = 720.96 × 206.76
  4. Step 4: Simplify right side
    480.80x = 149,065.69
  5. Step 5: Solve for x
    x = 149,065.69/480.80
  6. Step 6: Final answer
    x = 310.04

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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.