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Finding the Fourth Proportional to 546.99, 820.49 and 222.27

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Solution

The fourth proportional to 546.99, 820.49 and 222.27 is: 333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.99 : 820.49 = 222.27 : x
  2. Step 2: Convert to fraction form
    546.99/820.49 = 222.27/x
  3. Step 3: Cross multiply
    546.99x = 820.49 × 222.27
  4. Step 4: Simplify right side
    546.99x = 182,369.20
  5. Step 5: Solve for x
    x = 182,369.20/546.99
  6. Step 6: Final answer
    x = 333.41

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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.