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Finding the Fourth Proportional to 681.68, 940.78 and 387.05

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Solution

The fourth proportional to 681.68, 940.78 and 387.05 is: 534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.68 : 940.78 = 387.05 : x
  2. Step 2: Convert to fraction form
    681.68/940.78 = 387.05/x
  3. Step 3: Cross multiply
    681.68x = 940.78 × 387.05
  4. Step 4: Simplify right side
    681.68x = 364,124.68
  5. Step 5: Solve for x
    x = 364,124.68/681.68
  6. Step 6: Final answer
    x = 534.16

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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.