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Finding the Fourth Proportional to 394.83, 591.77 and 163.42

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Solution

The fourth proportional to 394.83, 591.77 and 163.42 is: 244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.83 : 591.77 = 163.42 : x
  2. Step 2: Convert to fraction form
    394.83/591.77 = 163.42/x
  3. Step 3: Cross multiply
    394.83x = 591.77 × 163.42
  4. Step 4: Simplify right side
    394.83x = 96,709.31
  5. Step 5: Solve for x
    x = 96,709.31/394.83
  6. Step 6: Final answer
    x = 244.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.