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Finding the Fourth Proportional to 330.62, 455.96 and 232.34

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Solution

The fourth proportional to 330.62, 455.96 and 232.34 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.62 : 455.96 = 232.34 : x
  2. Step 2: Convert to fraction form
    330.62/455.96 = 232.34/x
  3. Step 3: Cross multiply
    330.62x = 455.96 × 232.34
  4. Step 4: Simplify right side
    330.62x = 105,936.05
  5. Step 5: Solve for x
    x = 105,936.05/330.62
  6. Step 6: Final answer
    x = 320.42

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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.