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Finding the Fourth Proportional to 331.33, 456.93 and 232.90

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Solution

The fourth proportional to 331.33, 456.93 and 232.90 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.33 : 456.93 = 232.90 : x
  2. Step 2: Convert to fraction form
    331.33/456.93 = 232.90/x
  3. Step 3: Cross multiply
    331.33x = 456.93 × 232.90
  4. Step 4: Simplify right side
    331.33x = 106,419.00
  5. Step 5: Solve for x
    x = 106,419.00/331.33
  6. Step 6: Final answer
    x = 321.19

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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.