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Finding the Fourth Proportional to 668, 1,002.11 and 235.13

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Solution

The fourth proportional to 668, 1,002.11 and 235.13 is: 352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    668 : 1,002.11 = 235.13 : x
  2. Step 2: Convert to fraction form
    668/1,002.11 = 235.13/x
  3. Step 3: Cross multiply
    668x = 1,002.11 × 235.13
  4. Step 4: Simplify right side
    668x = 235,626.12
  5. Step 5: Solve for x
    x = 235,626.12/668
  6. Step 6: Final answer
    x = 352.73

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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.