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Finding the Fourth Proportional to 550.44, 759.62 and 301.78

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Solution

The fourth proportional to 550.44, 759.62 and 301.78 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.44 : 759.62 = 301.78 : x
  2. Step 2: Convert to fraction form
    550.44/759.62 = 301.78/x
  3. Step 3: Cross multiply
    550.44x = 759.62 × 301.78
  4. Step 4: Simplify right side
    550.44x = 229,238.12
  5. Step 5: Solve for x
    x = 229,238.12/550.44
  6. Step 6: Final answer
    x = 416.46

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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.