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Finding the Fourth Proportional to 367.58, 550.75 and 259.17

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Solution

The fourth proportional to 367.58, 550.75 and 259.17 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.58 : 550.75 = 259.17 : x
  2. Step 2: Convert to fraction form
    367.58/550.75 = 259.17/x
  3. Step 3: Cross multiply
    367.58x = 550.75 × 259.17
  4. Step 4: Simplify right side
    367.58x = 142,737.88
  5. Step 5: Solve for x
    x = 142,737.88/367.58
  6. Step 6: Final answer
    x = 388.32

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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.