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Finding the Fourth Proportional to 543.92, 816.24 and 219.44

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Solution

The fourth proportional to 543.92, 816.24 and 219.44 is: 329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 816.24 = 219.44 : x
  2. Step 2: Convert to fraction form
    543.92/816.24 = 219.44/x
  3. Step 3: Cross multiply
    543.92x = 816.24 × 219.44
  4. Step 4: Simplify right side
    543.92x = 179,115.71
  5. Step 5: Solve for x
    x = 179,115.71/543.92
  6. Step 6: Final answer
    x = 329.31

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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.