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Finding the Fourth Proportional to 543.55, 814.83 and 219.13

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Solution

The fourth proportional to 543.55, 814.83 and 219.13 is: 328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.55 : 814.83 = 219.13 : x
  2. Step 2: Convert to fraction form
    543.55/814.83 = 219.13/x
  3. Step 3: Cross multiply
    543.55x = 814.83 × 219.13
  4. Step 4: Simplify right side
    543.55x = 178,553.70
  5. Step 5: Solve for x
    x = 178,553.70/543.55
  6. Step 6: Final answer
    x = 328.50

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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.