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Finding the Fourth Proportional to 362.97, 500.77 and 238.70

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Solution

The fourth proportional to 362.97, 500.77 and 238.70 is: 329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.97 : 500.77 = 238.70 : x
  2. Step 2: Convert to fraction form
    362.97/500.77 = 238.70/x
  3. Step 3: Cross multiply
    362.97x = 500.77 × 238.70
  4. Step 4: Simplify right side
    362.97x = 119,534.45
  5. Step 5: Solve for x
    x = 119,534.45/362.97
  6. Step 6: Final answer
    x = 329.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.