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Finding the Fourth Proportional to 550.08, 759.22 and 353.68

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Solution

The fourth proportional to 550.08, 759.22 and 353.68 is: 488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.08 : 759.22 = 353.68 : x
  2. Step 2: Convert to fraction form
    550.08/759.22 = 353.68/x
  3. Step 3: Cross multiply
    550.08x = 759.22 × 353.68
  4. Step 4: Simplify right side
    550.08x = 268,520.93
  5. Step 5: Solve for x
    x = 268,520.93/550.08
  6. Step 6: Final answer
    x = 488.15

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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.