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Finding the Fourth Proportional to 331.81, 496.26 and 295.48

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Solution

The fourth proportional to 331.81, 496.26 and 295.48 is: 441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.81 : 496.26 = 295.48 : x
  2. Step 2: Convert to fraction form
    331.81/496.26 = 295.48/x
  3. Step 3: Cross multiply
    331.81x = 496.26 × 295.48
  4. Step 4: Simplify right side
    331.81x = 146,634.90
  5. Step 5: Solve for x
    x = 146,634.90/331.81
  6. Step 6: Final answer
    x = 441.92

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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.