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Finding the Fourth Proportional to 550.20, 759.30 and 301.55

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Solution

The fourth proportional to 550.20, 759.30 and 301.55 is: 416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 759.30 = 301.55 : x
  2. Step 2: Convert to fraction form
    550.20/759.30 = 301.55/x
  3. Step 3: Cross multiply
    550.20x = 759.30 × 301.55
  4. Step 4: Simplify right side
    550.20x = 228,963.12
  5. Step 5: Solve for x
    x = 228,963.12/550.20
  6. Step 6: Final answer
    x = 416.15

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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.