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Finding the Fourth Proportional to 667.12, 1,000.68 and 234.26

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Solution

The fourth proportional to 667.12, 1,000.68 and 234.26 is: 351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.12 : 1,000.68 = 234.26 : x
  2. Step 2: Convert to fraction form
    667.12/1,000.68 = 234.26/x
  3. Step 3: Cross multiply
    667.12x = 1,000.68 × 234.26
  4. Step 4: Simplify right side
    667.12x = 234,419.30
  5. Step 5: Solve for x
    x = 234,419.30/667.12
  6. Step 6: Final answer
    x = 351.39

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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.