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Finding the Fourth Proportional to 681.74, 940.71 and 386.97

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Solution

The fourth proportional to 681.74, 940.71 and 386.97 is: 533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.74 : 940.71 = 386.97 : x
  2. Step 2: Convert to fraction form
    681.74/940.71 = 386.97/x
  3. Step 3: Cross multiply
    681.74x = 940.71 × 386.97
  4. Step 4: Simplify right side
    681.74x = 364,025.82
  5. Step 5: Solve for x
    x = 364,025.82/681.74
  6. Step 6: Final answer
    x = 533.96

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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.