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Finding the Fourth Proportional to 493.64, 739.91 and 219.50

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Solution

The fourth proportional to 493.64, 739.91 and 219.50 is: 329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.64 : 739.91 = 219.50 : x
  2. Step 2: Convert to fraction form
    493.64/739.91 = 219.50/x
  3. Step 3: Cross multiply
    493.64x = 739.91 × 219.50
  4. Step 4: Simplify right side
    493.64x = 162,410.25
  5. Step 5: Solve for x
    x = 162,410.25/493.64
  6. Step 6: Final answer
    x = 329.01

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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.