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Finding the Fourth Proportional to 911.78, 1,367.64 and 295.48

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Solution

The fourth proportional to 911.78, 1,367.64 and 295.48 is: 443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.78 : 1,367.64 = 295.48 : x
  2. Step 2: Convert to fraction form
    911.78/1,367.64 = 295.48/x
  3. Step 3: Cross multiply
    911.78x = 1,367.64 × 295.48
  4. Step 4: Simplify right side
    911.78x = 404,110.27
  5. Step 5: Solve for x
    x = 404,110.27/911.78
  6. Step 6: Final answer
    x = 443.21

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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.