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Finding the Fourth Proportional to 544.06, 816.41 and 219.70

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Solution

The fourth proportional to 544.06, 816.41 and 219.70 is: 329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.06 : 816.41 = 219.70 : x
  2. Step 2: Convert to fraction form
    544.06/816.41 = 219.70/x
  3. Step 3: Cross multiply
    544.06x = 816.41 × 219.70
  4. Step 4: Simplify right side
    544.06x = 179,365.28
  5. Step 5: Solve for x
    x = 179,365.28/544.06
  6. Step 6: Final answer
    x = 329.68

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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.