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Finding the Fourth Proportional to 367.98, 550.26 and 359.34

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Solution

The fourth proportional to 367.98, 550.26 and 359.34 is: 537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.98 : 550.26 = 359.34 : x
  2. Step 2: Convert to fraction form
    367.98/550.26 = 359.34/x
  3. Step 3: Cross multiply
    367.98x = 550.26 × 359.34
  4. Step 4: Simplify right side
    367.98x = 197,730.43
  5. Step 5: Solve for x
    x = 197,730.43/367.98
  6. Step 6: Final answer
    x = 537.34

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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.