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Finding the Fourth Proportional to 681.82, 940.92 and 398.22

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Solution

The fourth proportional to 681.82, 940.92 and 398.22 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.82 : 940.92 = 398.22 : x
  2. Step 2: Convert to fraction form
    681.82/940.92 = 398.22/x
  3. Step 3: Cross multiply
    681.82x = 940.92 × 398.22
  4. Step 4: Simplify right side
    681.82x = 374,688.14
  5. Step 5: Solve for x
    x = 374,688.14/681.82
  6. Step 6: Final answer
    x = 549.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.