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Finding the Fourth Proportional to 681.62, 940.01 and 460.28

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Solution

The fourth proportional to 681.62, 940.01 and 460.28 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.62 : 940.01 = 460.28 : x
  2. Step 2: Convert to fraction form
    681.62/940.01 = 460.28/x
  3. Step 3: Cross multiply
    681.62x = 940.01 × 460.28
  4. Step 4: Simplify right side
    681.62x = 432,667.85
  5. Step 5: Solve for x
    x = 432,667.85/681.62
  6. Step 6: Final answer
    x = 634.77

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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.