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Finding the Fourth Proportional to 668.67, 1,003.03 and 206.45

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Solution

The fourth proportional to 668.67, 1,003.03 and 206.45 is: 309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.67 : 1,003.03 = 206.45 : x
  2. Step 2: Convert to fraction form
    668.67/1,003.03 = 206.45/x
  3. Step 3: Cross multiply
    668.67x = 1,003.03 × 206.45
  4. Step 4: Simplify right side
    668.67x = 207,076.43
  5. Step 5: Solve for x
    x = 207,076.43/668.67
  6. Step 6: Final answer
    x = 309.68

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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.