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Finding the Fourth Proportional to 493.56, 740.50 and 219.89

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Solution

The fourth proportional to 493.56, 740.50 and 219.89 is: 329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.56 : 740.50 = 219.89 : x
  2. Step 2: Convert to fraction form
    493.56/740.50 = 219.89/x
  3. Step 3: Cross multiply
    493.56x = 740.50 × 219.89
  4. Step 4: Simplify right side
    493.56x = 162,829.85
  5. Step 5: Solve for x
    x = 162,829.85/493.56
  6. Step 6: Final answer
    x = 329.91

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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.