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Finding the Fourth Proportional to 650.13, 975.33 and 205.44

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Solution

The fourth proportional to 650.13, 975.33 and 205.44 is: 308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.13 : 975.33 = 205.44 : x
  2. Step 2: Convert to fraction form
    650.13/975.33 = 205.44/x
  3. Step 3: Cross multiply
    650.13x = 975.33 × 205.44
  4. Step 4: Simplify right side
    650.13x = 200,371.80
  5. Step 5: Solve for x
    x = 200,371.80/650.13
  6. Step 6: Final answer
    x = 308.20

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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.