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Finding the Fourth Proportional to 681.56, 940.48 and 397.96

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Solution

The fourth proportional to 681.56, 940.48 and 397.96 is: 549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.56 : 940.48 = 397.96 : x
  2. Step 2: Convert to fraction form
    681.56/940.48 = 397.96/x
  3. Step 3: Cross multiply
    681.56x = 940.48 × 397.96
  4. Step 4: Simplify right side
    681.56x = 374,273.42
  5. Step 5: Solve for x
    x = 374,273.42/681.56
  6. Step 6: Final answer
    x = 549.14

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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.