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Finding the Fourth Proportional to 493.76, 740.82 and 219.83

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Solution

The fourth proportional to 493.76, 740.82 and 219.83 is: 329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.76 : 740.82 = 219.83 : x
  2. Step 2: Convert to fraction form
    493.76/740.82 = 219.83/x
  3. Step 3: Cross multiply
    493.76x = 740.82 × 219.83
  4. Step 4: Simplify right side
    493.76x = 162,849.66
  5. Step 5: Solve for x
    x = 162,849.66/493.76
  6. Step 6: Final answer
    x = 329.82

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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.