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Finding the Fourth Proportional to 362.49, 495.96 and 360.96

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Solution

The fourth proportional to 362.49, 495.96 and 360.96 is: 493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.49 : 495.96 = 360.96 : x
  2. Step 2: Convert to fraction form
    362.49/495.96 = 360.96/x
  3. Step 3: Cross multiply
    362.49x = 495.96 × 360.96
  4. Step 4: Simplify right side
    362.49x = 179,019.92
  5. Step 5: Solve for x
    x = 179,019.92/362.49
  6. Step 6: Final answer
    x = 493.86

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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.