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Finding the Fourth Proportional to 550.29, 759.41 and 301.63

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Solution

The fourth proportional to 550.29, 759.41 and 301.63 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.29 : 759.41 = 301.63 : x
  2. Step 2: Convert to fraction form
    550.29/759.41 = 301.63/x
  3. Step 3: Cross multiply
    550.29x = 759.41 × 301.63
  4. Step 4: Simplify right side
    550.29x = 229,057.43
  5. Step 5: Solve for x
    x = 229,057.43/550.29
  6. Step 6: Final answer
    x = 416.25

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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.