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Finding the Fourth Proportional to 493.74, 740.61 and 219.78

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Solution

The fourth proportional to 493.74, 740.61 and 219.78 is: 329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.74 : 740.61 = 219.78 : x
  2. Step 2: Convert to fraction form
    493.74/740.61 = 219.78/x
  3. Step 3: Cross multiply
    493.74x = 740.61 × 219.78
  4. Step 4: Simplify right side
    493.74x = 162,771.27
  5. Step 5: Solve for x
    x = 162,771.27/493.74
  6. Step 6: Final answer
    x = 329.67

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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.