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Finding the Fourth Proportional to 681.97, 941.14 and 371.47

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Solution

The fourth proportional to 681.97, 941.14 and 371.47 is: 512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.97 : 941.14 = 371.47 : x
  2. Step 2: Convert to fraction form
    681.97/941.14 = 371.47/x
  3. Step 3: Cross multiply
    681.97x = 941.14 × 371.47
  4. Step 4: Simplify right side
    681.97x = 349,605.28
  5. Step 5: Solve for x
    x = 349,605.28/681.97
  6. Step 6: Final answer
    x = 512.64

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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.