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Finding the Fourth Proportional to 367.52, 550.44 and 285.20

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Solution

The fourth proportional to 367.52, 550.44 and 285.20 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.52 : 550.44 = 285.20 : x
  2. Step 2: Convert to fraction form
    367.52/550.44 = 285.20/x
  3. Step 3: Cross multiply
    367.52x = 550.44 × 285.20
  4. Step 4: Simplify right side
    367.52x = 156,985.49
  5. Step 5: Solve for x
    x = 156,985.49/367.52
  6. Step 6: Final answer
    x = 427.15

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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.