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Finding the Fourth Proportional to 329.69, 493.84 and 213.79

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Solution

The fourth proportional to 329.69, 493.84 and 213.79 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 493.84 = 213.79 : x
  2. Step 2: Convert to fraction form
    329.69/493.84 = 213.79/x
  3. Step 3: Cross multiply
    329.69x = 493.84 × 213.79
  4. Step 4: Simplify right side
    329.69x = 105,579.42
  5. Step 5: Solve for x
    x = 105,579.42/329.69
  6. Step 6: Final answer
    x = 320.24

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