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Finding the Fourth Proportional to 331.25, 456.97 and 233.06

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Solution

The fourth proportional to 331.25, 456.97 and 233.06 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.25 : 456.97 = 233.06 : x
  2. Step 2: Convert to fraction form
    331.25/456.97 = 233.06/x
  3. Step 3: Cross multiply
    331.25x = 456.97 × 233.06
  4. Step 4: Simplify right side
    331.25x = 106,500.26
  5. Step 5: Solve for x
    x = 106,500.26/331.25
  6. Step 6: Final answer
    x = 321.51

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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.