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Finding the Fourth Proportional to 681.12, 940.30 and 445.42

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Solution

The fourth proportional to 681.12, 940.30 and 445.42 is: 614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.12 : 940.30 = 445.42 : x
  2. Step 2: Convert to fraction form
    681.12/940.30 = 445.42/x
  3. Step 3: Cross multiply
    681.12x = 940.30 × 445.42
  4. Step 4: Simplify right side
    681.12x = 418,828.43
  5. Step 5: Solve for x
    x = 418,828.43/681.12
  6. Step 6: Final answer
    x = 614.91

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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.