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Finding the Fourth Proportional to 681.98, 940.98 and 419.94

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Solution

The fourth proportional to 681.98, 940.98 and 419.94 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.98 : 940.98 = 419.94 : x
  2. Step 2: Convert to fraction form
    681.98/940.98 = 419.94/x
  3. Step 3: Cross multiply
    681.98x = 940.98 × 419.94
  4. Step 4: Simplify right side
    681.98x = 395,156.72
  5. Step 5: Solve for x
    x = 395,156.72/681.98
  6. Step 6: Final answer
    x = 579.43

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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.