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Finding the Fourth Proportional to 667.86, 1,002.11 and 321.02

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Solution

The fourth proportional to 667.86, 1,002.11 and 321.02 is: 481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.86 : 1,002.11 = 321.02 : x
  2. Step 2: Convert to fraction form
    667.86/1,002.11 = 321.02/x
  3. Step 3: Cross multiply
    667.86x = 1,002.11 × 321.02
  4. Step 4: Simplify right side
    667.86x = 321,697.35
  5. Step 5: Solve for x
    x = 321,697.35/667.86
  6. Step 6: Final answer
    x = 481.68

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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.