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Finding the Fourth Proportional to 681.82, 940.71 and 419.92

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Solution

The fourth proportional to 681.82, 940.71 and 419.92 is: 579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.82 : 940.71 = 419.92 : x
  2. Step 2: Convert to fraction form
    681.82/940.71 = 419.92/x
  3. Step 3: Cross multiply
    681.82x = 940.71 × 419.92
  4. Step 4: Simplify right side
    681.82x = 395,022.17
  5. Step 5: Solve for x
    x = 395,022.17/681.82
  6. Step 6: Final answer
    x = 579.37

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Why These Related Problems?

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