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Finding the Fourth Proportional to 550.40, 759.66 and 375.98

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Solution

The fourth proportional to 550.40, 759.66 and 375.98 is: 518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 759.66 = 375.98 : x
  2. Step 2: Convert to fraction form
    550.40/759.66 = 375.98/x
  3. Step 3: Cross multiply
    550.40x = 759.66 × 375.98
  4. Step 4: Simplify right side
    550.40x = 285,616.97
  5. Step 5: Solve for x
    x = 285,616.97/550.40
  6. Step 6: Final answer
    x = 518.93

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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.