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Finding the Fourth Proportional to 543.89, 816.05 and 219.29

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Solution

The fourth proportional to 543.89, 816.05 and 219.29 is: 329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.89 : 816.05 = 219.29 : x
  2. Step 2: Convert to fraction form
    543.89/816.05 = 219.29/x
  3. Step 3: Cross multiply
    543.89x = 816.05 × 219.29
  4. Step 4: Simplify right side
    543.89x = 178,946.43
  5. Step 5: Solve for x
    x = 178,946.43/543.89
  6. Step 6: Final answer
    x = 329.02

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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.