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Finding the Fourth Proportional to 681.86, 940.97 and 387.13

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Solution

The fourth proportional to 681.86, 940.97 and 387.13 is: 534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.86 : 940.97 = 387.13 : x
  2. Step 2: Convert to fraction form
    681.86/940.97 = 387.13/x
  3. Step 3: Cross multiply
    681.86x = 940.97 × 387.13
  4. Step 4: Simplify right side
    681.86x = 364,275.92
  5. Step 5: Solve for x
    x = 364,275.92/681.86
  6. Step 6: Final answer
    x = 534.24

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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.