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Finding the Fourth Proportional to 681.62, 940.26 and 460.88

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Solution

The fourth proportional to 681.62, 940.26 and 460.88 is: 635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.62 : 940.26 = 460.88 : x
  2. Step 2: Convert to fraction form
    681.62/940.26 = 460.88/x
  3. Step 3: Cross multiply
    681.62x = 940.26 × 460.88
  4. Step 4: Simplify right side
    681.62x = 433,347.03
  5. Step 5: Solve for x
    x = 433,347.03/681.62
  6. Step 6: Final answer
    x = 635.76

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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.