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Finding the Fourth Proportional to 662.68, 994.20 and 200.44

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Solution

The fourth proportional to 662.68, 994.20 and 200.44 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.68 : 994.20 = 200.44 : x
  2. Step 2: Convert to fraction form
    662.68/994.20 = 200.44/x
  3. Step 3: Cross multiply
    662.68x = 994.20 × 200.44
  4. Step 4: Simplify right side
    662.68x = 199,277.45
  5. Step 5: Solve for x
    x = 199,277.45/662.68
  6. Step 6: Final answer
    x = 300.71

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Why These Related Problems?

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