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Finding the Fourth Proportional to 681.41, 940.41 and 386.78

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Solution

The fourth proportional to 681.41, 940.41 and 386.78 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.41 : 940.41 = 386.78 : x
  2. Step 2: Convert to fraction form
    681.41/940.41 = 386.78/x
  3. Step 3: Cross multiply
    681.41x = 940.41 × 386.78
  4. Step 4: Simplify right side
    681.41x = 363,727.08
  5. Step 5: Solve for x
    x = 363,727.08/681.41
  6. Step 6: Final answer
    x = 533.78

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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.