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Finding the Fourth Proportional to 362.28, 499.83 and 288.78

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Solution

The fourth proportional to 362.28, 499.83 and 288.78 is: 398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 499.83 = 288.78 : x
  2. Step 2: Convert to fraction form
    362.28/499.83 = 288.78/x
  3. Step 3: Cross multiply
    362.28x = 499.83 × 288.78
  4. Step 4: Simplify right side
    362.28x = 144,340.91
  5. Step 5: Solve for x
    x = 144,340.91/362.28
  6. Step 6: Final answer
    x = 398.42

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