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Finding the Fourth Proportional to 480.47, 720.86 and 220.46

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Solution

The fourth proportional to 480.47, 720.86 and 220.46 is: 330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.47 : 720.86 = 220.46 : x
  2. Step 2: Convert to fraction form
    480.47/720.86 = 220.46/x
  3. Step 3: Cross multiply
    480.47x = 720.86 × 220.46
  4. Step 4: Simplify right side
    480.47x = 158,920.80
  5. Step 5: Solve for x
    x = 158,920.80/480.47
  6. Step 6: Final answer
    x = 330.76

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