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Finding the Fourth Proportional to 681.12, 940.16 and 401.34

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Solution

The fourth proportional to 681.12, 940.16 and 401.34 is: 553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.12 : 940.16 = 401.34 : x
  2. Step 2: Convert to fraction form
    681.12/940.16 = 401.34/x
  3. Step 3: Cross multiply
    681.12x = 940.16 × 401.34
  4. Step 4: Simplify right side
    681.12x = 377,323.81
  5. Step 5: Solve for x
    x = 377,323.81/681.12
  6. Step 6: Final answer
    x = 553.98

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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.