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Finding the Fourth Proportional to 367.64, 550.85 and 259.20

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Solution

The fourth proportional to 367.64, 550.85 and 259.20 is: 388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.64 : 550.85 = 259.20 : x
  2. Step 2: Convert to fraction form
    367.64/550.85 = 259.20/x
  3. Step 3: Cross multiply
    367.64x = 550.85 × 259.20
  4. Step 4: Simplify right side
    367.64x = 142,780.32
  5. Step 5: Solve for x
    x = 142,780.32/367.64
  6. Step 6: Final answer
    x = 388.37

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