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Finding the Fourth Proportional to 681.56, 940.27 and 474.68

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Solution

The fourth proportional to 681.56, 940.27 and 474.68 is: 654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.56 : 940.27 = 474.68 : x
  2. Step 2: Convert to fraction form
    681.56/940.27 = 474.68/x
  3. Step 3: Cross multiply
    681.56x = 940.27 × 474.68
  4. Step 4: Simplify right side
    681.56x = 446,321.48
  5. Step 5: Solve for x
    x = 446,321.48/681.56
  6. Step 6: Final answer
    x = 654.86

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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.