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Finding the Fourth Proportional to 550.77, 825.62 and 242.79

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Solution

The fourth proportional to 550.77, 825.62 and 242.79 is: 363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.77 : 825.62 = 242.79 : x
  2. Step 2: Convert to fraction form
    550.77/825.62 = 242.79/x
  3. Step 3: Cross multiply
    550.77x = 825.62 × 242.79
  4. Step 4: Simplify right side
    550.77x = 200,451.07
  5. Step 5: Solve for x
    x = 200,451.07/550.77
  6. Step 6: Final answer
    x = 363.95

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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.