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Finding the Fourth Proportional to 550.05, 759.07 and 301.33

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Solution

The fourth proportional to 550.05, 759.07 and 301.33 is: 415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.05 : 759.07 = 301.33 : x
  2. Step 2: Convert to fraction form
    550.05/759.07 = 301.33/x
  3. Step 3: Cross multiply
    550.05x = 759.07 × 301.33
  4. Step 4: Simplify right side
    550.05x = 228,730.56
  5. Step 5: Solve for x
    x = 228,730.56/550.05
  6. Step 6: Final answer
    x = 415.84

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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.