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Finding the Fourth Proportional to 662.60, 994.06 and 200.42

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Solution

The fourth proportional to 662.60, 994.06 and 200.42 is: 300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.60 : 994.06 = 200.42 : x
  2. Step 2: Convert to fraction form
    662.60/994.06 = 200.42/x
  3. Step 3: Cross multiply
    662.60x = 994.06 × 200.42
  4. Step 4: Simplify right side
    662.60x = 199,229.51
  5. Step 5: Solve for x
    x = 199,229.51/662.60
  6. Step 6: Final answer
    x = 300.68

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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.