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Finding the Fourth Proportional to 681.46, 940.11 and 401.71

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Solution

The fourth proportional to 681.46, 940.11 and 401.71 is: 554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.46 : 940.11 = 401.71 : x
  2. Step 2: Convert to fraction form
    681.46/940.11 = 401.71/x
  3. Step 3: Cross multiply
    681.46x = 940.11 × 401.71
  4. Step 4: Simplify right side
    681.46x = 377,651.59
  5. Step 5: Solve for x
    x = 377,651.59/681.46
  6. Step 6: Final answer
    x = 554.18

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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.