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Finding the Fourth Proportional to 681.31, 940.41 and 460.59

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Solution

The fourth proportional to 681.31, 940.41 and 460.59 is: 635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.31 : 940.41 = 460.59 : x
  2. Step 2: Convert to fraction form
    681.31/940.41 = 460.59/x
  3. Step 3: Cross multiply
    681.31x = 940.41 × 460.59
  4. Step 4: Simplify right side
    681.31x = 433,139.92
  5. Step 5: Solve for x
    x = 433,139.92/681.31
  6. Step 6: Final answer
    x = 635.74

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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.