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Finding the Fourth Proportional to 681.18, 939.99 and 419.19

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Solution

The fourth proportional to 681.18, 939.99 and 419.19 is: 578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.18 : 939.99 = 419.19 : x
  2. Step 2: Convert to fraction form
    681.18/939.99 = 419.19/x
  3. Step 3: Cross multiply
    681.18x = 939.99 × 419.19
  4. Step 4: Simplify right side
    681.18x = 394,034.41
  5. Step 5: Solve for x
    x = 394,034.41/681.18
  6. Step 6: Final answer
    x = 578.46

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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.