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Finding the Fourth Proportional to 671.39, 1,006.80 and 306.41

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Solution

The fourth proportional to 671.39, 1,006.80 and 306.41 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.39 : 1,006.80 = 306.41 : x
  2. Step 2: Convert to fraction form
    671.39/1,006.80 = 306.41/x
  3. Step 3: Cross multiply
    671.39x = 1,006.80 × 306.41
  4. Step 4: Simplify right side
    671.39x = 308,493.59
  5. Step 5: Solve for x
    x = 308,493.59/671.39
  6. Step 6: Final answer
    x = 459.48

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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.