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Finding the Fourth Proportional to 331.82, 457.85 and 282.23

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Solution

The fourth proportional to 331.82, 457.85 and 282.23 is: 389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.82 : 457.85 = 282.23 : x
  2. Step 2: Convert to fraction form
    331.82/457.85 = 282.23/x
  3. Step 3: Cross multiply
    331.82x = 457.85 × 282.23
  4. Step 4: Simplify right side
    331.82x = 129,219.01
  5. Step 5: Solve for x
    x = 129,219.01/331.82
  6. Step 6: Final answer
    x = 389.43

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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.