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Finding the Fourth Proportional to 671.22, 1,006.46 and 232.34

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Solution

The fourth proportional to 671.22, 1,006.46 and 232.34 is: 348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.22 : 1,006.46 = 232.34 : x
  2. Step 2: Convert to fraction form
    671.22/1,006.46 = 232.34/x
  3. Step 3: Cross multiply
    671.22x = 1,006.46 × 232.34
  4. Step 4: Simplify right side
    671.22x = 233,840.92
  5. Step 5: Solve for x
    x = 233,840.92/671.22
  6. Step 6: Final answer
    x = 348.38

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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.