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Finding the Fourth Proportional to 675.56, 1,012.38 and 333.80

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Solution

The fourth proportional to 675.56, 1,012.38 and 333.80 is: 500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.56 : 1,012.38 = 333.80 : x
  2. Step 2: Convert to fraction form
    675.56/1,012.38 = 333.80/x
  3. Step 3: Cross multiply
    675.56x = 1,012.38 × 333.80
  4. Step 4: Simplify right side
    675.56x = 337,932.44
  5. Step 5: Solve for x
    x = 337,932.44/675.56
  6. Step 6: Final answer
    x = 500.23

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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.