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Finding the Fourth Proportional to 331.21, 496.82 and 282.81

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Solution

The fourth proportional to 331.21, 496.82 and 282.81 is: 424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.21 : 496.82 = 282.81 : x
  2. Step 2: Convert to fraction form
    331.21/496.82 = 282.81/x
  3. Step 3: Cross multiply
    331.21x = 496.82 × 282.81
  4. Step 4: Simplify right side
    331.21x = 140,505.66
  5. Step 5: Solve for x
    x = 140,505.66/331.21
  6. Step 6: Final answer
    x = 424.22

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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.