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Finding the Fourth Proportional to 671.43, 1,006.41 and 324.52

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Solution

The fourth proportional to 671.43, 1,006.41 and 324.52 is: 486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.43 : 1,006.41 = 324.52 : x
  2. Step 2: Convert to fraction form
    671.43/1,006.41 = 324.52/x
  3. Step 3: Cross multiply
    671.43x = 1,006.41 × 324.52
  4. Step 4: Simplify right side
    671.43x = 326,600.17
  5. Step 5: Solve for x
    x = 326,600.17/671.43
  6. Step 6: Final answer
    x = 486.42

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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.