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Finding the Fourth Proportional to 329.52, 493.48 and 232.12

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Solution

The fourth proportional to 329.52, 493.48 and 232.12 is: 347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.52 : 493.48 = 232.12 : x
  2. Step 2: Convert to fraction form
    329.52/493.48 = 232.12/x
  3. Step 3: Cross multiply
    329.52x = 493.48 × 232.12
  4. Step 4: Simplify right side
    329.52x = 114,546.58
  5. Step 5: Solve for x
    x = 114,546.58/329.52
  6. Step 6: Final answer
    x = 347.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.