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Finding the Fourth Proportional to 550.71, 825.84 and 204.03

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Solution

The fourth proportional to 550.71, 825.84 and 204.03 is: 305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.71 : 825.84 = 204.03 : x
  2. Step 2: Convert to fraction form
    550.71/825.84 = 204.03/x
  3. Step 3: Cross multiply
    550.71x = 825.84 × 204.03
  4. Step 4: Simplify right side
    550.71x = 168,496.14
  5. Step 5: Solve for x
    x = 168,496.14/550.71
  6. Step 6: Final answer
    x = 305.96

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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.