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Finding the Fourth Proportional to 550.10, 759.11 and 301.41

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Solution

The fourth proportional to 550.10, 759.11 and 301.41 is: 415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.10 : 759.11 = 301.41 : x
  2. Step 2: Convert to fraction form
    550.10/759.11 = 301.41/x
  3. Step 3: Cross multiply
    550.10x = 759.11 × 301.41
  4. Step 4: Simplify right side
    550.10x = 228,802.20
  5. Step 5: Solve for x
    x = 228,802.20/550.10
  6. Step 6: Final answer
    x = 415.93

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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.