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Finding the Fourth Proportional to 681.75, 940.82 and 371.25

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Solution

The fourth proportional to 681.75, 940.82 and 371.25 is: 512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.75 : 940.82 = 371.25 : x
  2. Step 2: Convert to fraction form
    681.75/940.82 = 371.25/x
  3. Step 3: Cross multiply
    681.75x = 940.82 × 371.25
  4. Step 4: Simplify right side
    681.75x = 349,277.57
  5. Step 5: Solve for x
    x = 349,277.57/681.75
  6. Step 6: Final answer
    x = 512.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.