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Finding the Fourth Proportional to 667.05, 1,001.02 and 234.21

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Solution

The fourth proportional to 667.05, 1,001.02 and 234.21 is: 351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.05 : 1,001.02 = 234.21 : x
  2. Step 2: Convert to fraction form
    667.05/1,001.02 = 234.21/x
  3. Step 3: Cross multiply
    667.05x = 1,001.02 × 234.21
  4. Step 4: Simplify right side
    667.05x = 234,448.89
  5. Step 5: Solve for x
    x = 234,448.89/667.05
  6. Step 6: Final answer
    x = 351.47

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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.