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Finding the Fourth Proportional to 671.71, 1,006.86 and 363.49

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Solution

The fourth proportional to 671.71, 1,006.86 and 363.49 is: 544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.71 : 1,006.86 = 363.49 : x
  2. Step 2: Convert to fraction form
    671.71/1,006.86 = 363.49/x
  3. Step 3: Cross multiply
    671.71x = 1,006.86 × 363.49
  4. Step 4: Simplify right side
    671.71x = 365,983.54
  5. Step 5: Solve for x
    x = 365,983.54/671.71
  6. Step 6: Final answer
    x = 544.85

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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.