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Finding the Fourth Proportional to 667.40, 1,001.23 and 234.59

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Solution

The fourth proportional to 667.40, 1,001.23 and 234.59 is: 351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.40 : 1,001.23 = 234.59 : x
  2. Step 2: Convert to fraction form
    667.40/1,001.23 = 234.59/x
  3. Step 3: Cross multiply
    667.40x = 1,001.23 × 234.59
  4. Step 4: Simplify right side
    667.40x = 234,872.95
  5. Step 5: Solve for x
    x = 234,872.95/667.40
  6. Step 6: Final answer
    x = 351.92

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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.