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Finding the Fourth Proportional to 367.98, 550.53 and 276.30

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Solution

The fourth proportional to 367.98, 550.53 and 276.30 is: 413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.98 : 550.53 = 276.30 : x
  2. Step 2: Convert to fraction form
    367.98/550.53 = 276.30/x
  3. Step 3: Cross multiply
    367.98x = 550.53 × 276.30
  4. Step 4: Simplify right side
    367.98x = 152,111.44
  5. Step 5: Solve for x
    x = 152,111.44/367.98
  6. Step 6: Final answer
    x = 413.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.