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Finding the Fourth Proportional to 331.35, 456.71 and 232.94

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Solution

The fourth proportional to 331.35, 456.71 and 232.94 is: 321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.35 : 456.71 = 232.94 : x
  2. Step 2: Convert to fraction form
    331.35/456.71 = 232.94/x
  3. Step 3: Cross multiply
    331.35x = 456.71 × 232.94
  4. Step 4: Simplify right side
    331.35x = 106,384.33
  5. Step 5: Solve for x
    x = 106,384.33/331.35
  6. Step 6: Final answer
    x = 321.06

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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.