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Finding the Fourth Proportional to 550.20, 758.89 and 382.24

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Solution

The fourth proportional to 550.20, 758.89 and 382.24 is: 527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 758.89 = 382.24 : x
  2. Step 2: Convert to fraction form
    550.20/758.89 = 382.24/x
  3. Step 3: Cross multiply
    550.20x = 758.89 × 382.24
  4. Step 4: Simplify right side
    550.20x = 290,078.11
  5. Step 5: Solve for x
    x = 290,078.11/550.20
  6. Step 6: Final answer
    x = 527.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.