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Finding the Fourth Proportional to 681.56, 940.34 and 401.70

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Solution

The fourth proportional to 681.56, 940.34 and 401.70 is: 554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.56 : 940.34 = 401.70 : x
  2. Step 2: Convert to fraction form
    681.56/940.34 = 401.70/x
  3. Step 3: Cross multiply
    681.56x = 940.34 × 401.70
  4. Step 4: Simplify right side
    681.56x = 377,732.57
  5. Step 5: Solve for x
    x = 377,732.57/681.56
  6. Step 6: Final answer
    x = 554.22

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