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Finding the Fourth Proportional to 493.14, 739.50 and 219.05

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Solution

The fourth proportional to 493.14, 739.50 and 219.05 is: 328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.14 : 739.50 = 219.05 : x
  2. Step 2: Convert to fraction form
    493.14/739.50 = 219.05/x
  3. Step 3: Cross multiply
    493.14x = 739.50 × 219.05
  4. Step 4: Simplify right side
    493.14x = 161,984.33
  5. Step 5: Solve for x
    x = 161,984.33/493.14
  6. Step 6: Final answer
    x = 328.47

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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.