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Finding the Fourth Proportional to 629.27, 868.61 and 380.80

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Solution

The fourth proportional to 629.27, 868.61 and 380.80 is: 525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.27 : 868.61 = 380.80 : x
  2. Step 2: Convert to fraction form
    629.27/868.61 = 380.80/x
  3. Step 3: Cross multiply
    629.27x = 868.61 × 380.80
  4. Step 4: Simplify right side
    629.27x = 330,760.44
  5. Step 5: Solve for x
    x = 330,760.44/629.27
  6. Step 6: Final answer
    x = 525.63

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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.