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Finding the Fourth Proportional to 329.24, 493.38 and 238.13

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Solution

The fourth proportional to 329.24, 493.38 and 238.13 is: 356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.24 : 493.38 = 238.13 : x
  2. Step 2: Convert to fraction form
    329.24/493.38 = 238.13/x
  3. Step 3: Cross multiply
    329.24x = 493.38 × 238.13
  4. Step 4: Simplify right side
    329.24x = 117,488.58
  5. Step 5: Solve for x
    x = 117,488.58/329.24
  6. Step 6: Final answer
    x = 356.85

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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.