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Finding the Fourth Proportional to 681.69, 940.22 and 472.22

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Solution

The fourth proportional to 681.69, 940.22 and 472.22 is: 651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.69 : 940.22 = 472.22 : x
  2. Step 2: Convert to fraction form
    681.69/940.22 = 472.22/x
  3. Step 3: Cross multiply
    681.69x = 940.22 × 472.22
  4. Step 4: Simplify right side
    681.69x = 443,990.69
  5. Step 5: Solve for x
    x = 443,990.69/681.69
  6. Step 6: Final answer
    x = 651.31

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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.