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Finding the Fourth Proportional to 701.20, 967.36 and 480.48

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Solution

The fourth proportional to 701.20, 967.36 and 480.48 is: 662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.20 : 967.36 = 480.48 : x
  2. Step 2: Convert to fraction form
    701.20/967.36 = 480.48/x
  3. Step 3: Cross multiply
    701.20x = 967.36 × 480.48
  4. Step 4: Simplify right side
    701.20x = 464,797.13
  5. Step 5: Solve for x
    x = 464,797.13/701.20
  6. Step 6: Final answer
    x = 662.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.