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Finding the Fourth Proportional to 671.50, 1,007.71 and 363.45

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Solution

The fourth proportional to 671.50, 1,007.71 and 363.45 is: 545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.50 : 1,007.71 = 363.45 : x
  2. Step 2: Convert to fraction form
    671.50/1,007.71 = 363.45/x
  3. Step 3: Cross multiply
    671.50x = 1,007.71 × 363.45
  4. Step 4: Simplify right side
    671.50x = 366,255.07
  5. Step 5: Solve for x
    x = 366,255.07/671.50
  6. Step 6: Final answer
    x = 545.43

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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.