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Finding the Fourth Proportional to 662.91, 994.37 and 200.76

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Solution

The fourth proportional to 662.91, 994.37 and 200.76 is: 301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.91 : 994.37 = 200.76 : x
  2. Step 2: Convert to fraction form
    662.91/994.37 = 200.76/x
  3. Step 3: Cross multiply
    662.91x = 994.37 × 200.76
  4. Step 4: Simplify right side
    662.91x = 199,629.72
  5. Step 5: Solve for x
    x = 199,629.72/662.91
  6. Step 6: Final answer
    x = 301.14

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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.