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Finding the Fourth Proportional to 681.60, 940.82 and 401.81

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Solution

The fourth proportional to 681.60, 940.82 and 401.81 is: 554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.60 : 940.82 = 401.81 : x
  2. Step 2: Convert to fraction form
    681.60/940.82 = 401.81/x
  3. Step 3: Cross multiply
    681.60x = 940.82 × 401.81
  4. Step 4: Simplify right side
    681.60x = 378,031.23
  5. Step 5: Solve for x
    x = 378,031.23/681.60
  6. Step 6: Final answer
    x = 554.62

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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.