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Finding the Fourth Proportional to 480.80, 722.16 and 318.88

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Solution

The fourth proportional to 480.80, 722.16 and 318.88 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.80 : 722.16 = 318.88 : x
  2. Step 2: Convert to fraction form
    480.80/722.16 = 318.88/x
  3. Step 3: Cross multiply
    480.80x = 722.16 × 318.88
  4. Step 4: Simplify right side
    480.80x = 230,282.38
  5. Step 5: Solve for x
    x = 230,282.38/480.80
  6. Step 6: Final answer
    x = 478.96

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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.