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Finding the Fourth Proportional to 550.26, 825.24 and 376.91

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Solution

The fourth proportional to 550.26, 825.24 and 376.91 is: 565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 825.24 = 376.91 : x
  2. Step 2: Convert to fraction form
    550.26/825.24 = 376.91/x
  3. Step 3: Cross multiply
    550.26x = 825.24 × 376.91
  4. Step 4: Simplify right side
    550.26x = 311,041.21
  5. Step 5: Solve for x
    x = 311,041.21/550.26
  6. Step 6: Final answer
    x = 565.26

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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.