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Finding the Fourth Proportional to 392.52, 539.33 and 367.24

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Solution

The fourth proportional to 392.52, 539.33 and 367.24 is: 504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.52 : 539.33 = 367.24 : x
  2. Step 2: Convert to fraction form
    392.52/539.33 = 367.24/x
  3. Step 3: Cross multiply
    392.52x = 539.33 × 367.24
  4. Step 4: Simplify right side
    392.52x = 198,063.55
  5. Step 5: Solve for x
    x = 198,063.55/392.52
  6. Step 6: Final answer
    x = 504.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.