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Finding the Fourth Proportional to 367.66, 550.47 and 259.39

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Solution

The fourth proportional to 367.66, 550.47 and 259.39 is: 388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.66 : 550.47 = 259.39 : x
  2. Step 2: Convert to fraction form
    367.66/550.47 = 259.39/x
  3. Step 3: Cross multiply
    367.66x = 550.47 × 259.39
  4. Step 4: Simplify right side
    367.66x = 142,786.41
  5. Step 5: Solve for x
    x = 142,786.41/367.66
  6. Step 6: Final answer
    x = 388.37

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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.