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Finding the Fourth Proportional to 543.99, 815.99 and 219.27

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Solution

The fourth proportional to 543.99, 815.99 and 219.27 is: 328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.99 : 815.99 = 219.27 : x
  2. Step 2: Convert to fraction form
    543.99/815.99 = 219.27/x
  3. Step 3: Cross multiply
    543.99x = 815.99 × 219.27
  4. Step 4: Simplify right side
    543.99x = 178,921.03
  5. Step 5: Solve for x
    x = 178,921.03/543.99
  6. Step 6: Final answer
    x = 328.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.