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Finding the Fourth Proportional to 668.62, 1,003.08 and 206.38

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Solution

The fourth proportional to 668.62, 1,003.08 and 206.38 is: 309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.62 : 1,003.08 = 206.38 : x
  2. Step 2: Convert to fraction form
    668.62/1,003.08 = 206.38/x
  3. Step 3: Cross multiply
    668.62x = 1,003.08 × 206.38
  4. Step 4: Simplify right side
    668.62x = 207,015.65
  5. Step 5: Solve for x
    x = 207,015.65/668.62
  6. Step 6: Final answer
    x = 309.62

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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.