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Finding the Fourth Proportional to 550.11, 825.50 and 286.59

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Solution

The fourth proportional to 550.11, 825.50 and 286.59 is: 430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.11 : 825.50 = 286.59 : x
  2. Step 2: Convert to fraction form
    550.11/825.50 = 286.59/x
  3. Step 3: Cross multiply
    550.11x = 825.50 × 286.59
  4. Step 4: Simplify right side
    550.11x = 236,580.05
  5. Step 5: Solve for x
    x = 236,580.05/550.11
  6. Step 6: Final answer
    x = 430.06

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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.