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Finding the Fourth Proportional to 550.95, 826.49 and 204.22

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Solution

The fourth proportional to 550.95, 826.49 and 204.22 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.95 : 826.49 = 204.22 : x
  2. Step 2: Convert to fraction form
    550.95/826.49 = 204.22/x
  3. Step 3: Cross multiply
    550.95x = 826.49 × 204.22
  4. Step 4: Simplify right side
    550.95x = 168,785.79
  5. Step 5: Solve for x
    x = 168,785.79/550.95
  6. Step 6: Final answer
    x = 306.35

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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.