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Finding the Fourth Proportional to 326.94, 490.31 and 95.85

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Solution

The fourth proportional to 326.94, 490.31 and 95.85 is: 143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.94 : 490.31 = 95.85 : x
  2. Step 2: Convert to fraction form
    326.94/490.31 = 95.85/x
  3. Step 3: Cross multiply
    326.94x = 490.31 × 95.85
  4. Step 4: Simplify right side
    326.94x = 46,996.21
  5. Step 5: Solve for x
    x = 46,996.21/326.94
  6. Step 6: Final answer
    x = 143.75

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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.