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Finding the Fourth Proportional to 681.04, 939.88 and 419.36

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Solution

The fourth proportional to 681.04, 939.88 and 419.36 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.04 : 939.88 = 419.36 : x
  2. Step 2: Convert to fraction form
    681.04/939.88 = 419.36/x
  3. Step 3: Cross multiply
    681.04x = 939.88 × 419.36
  4. Step 4: Simplify right side
    681.04x = 394,148.08
  5. Step 5: Solve for x
    x = 394,148.08/681.04
  6. Step 6: Final answer
    x = 578.74

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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.