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Finding the Fourth Proportional to 681.37, 940.49 and 401.77

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Solution

The fourth proportional to 681.37, 940.49 and 401.77 is: 554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.37 : 940.49 = 401.77 : x
  2. Step 2: Convert to fraction form
    681.37/940.49 = 401.77/x
  3. Step 3: Cross multiply
    681.37x = 940.49 × 401.77
  4. Step 4: Simplify right side
    681.37x = 377,856.31
  5. Step 5: Solve for x
    x = 377,856.31/681.37
  6. Step 6: Final answer
    x = 554.55

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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.