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Finding the Fourth Proportional to 668.31, 1,002.07 and 229.41

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Solution

The fourth proportional to 668.31, 1,002.07 and 229.41 is: 343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.31 : 1,002.07 = 229.41 : x
  2. Step 2: Convert to fraction form
    668.31/1,002.07 = 229.41/x
  3. Step 3: Cross multiply
    668.31x = 1,002.07 × 229.41
  4. Step 4: Simplify right side
    668.31x = 229,884.88
  5. Step 5: Solve for x
    x = 229,884.88/668.31
  6. Step 6: Final answer
    x = 343.98

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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.