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Finding the Fourth Proportional to 911.57, 1,367.46 and 326.49

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Solution

The fourth proportional to 911.57, 1,367.46 and 326.49 is: 489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.57 : 1,367.46 = 326.49 : x
  2. Step 2: Convert to fraction form
    911.57/1,367.46 = 326.49/x
  3. Step 3: Cross multiply
    911.57x = 1,367.46 × 326.49
  4. Step 4: Simplify right side
    911.57x = 446,462.02
  5. Step 5: Solve for x
    x = 446,462.02/911.57
  6. Step 6: Final answer
    x = 489.77

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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.