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Finding the Fourth Proportional to 367.58, 550.76 and 259.17

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Solution

The fourth proportional to 367.58, 550.76 and 259.17 is: 388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.58 : 550.76 = 259.17 : x
  2. Step 2: Convert to fraction form
    367.58/550.76 = 259.17/x
  3. Step 3: Cross multiply
    367.58x = 550.76 × 259.17
  4. Step 4: Simplify right side
    367.58x = 142,739.17
  5. Step 5: Solve for x
    x = 142,739.17/367.58
  6. Step 6: Final answer
    x = 388.33

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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.