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Finding the Fourth Proportional to 362.28, 542.94 and 318.78

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Solution

The fourth proportional to 362.28, 542.94 and 318.78 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 542.94 = 318.78 : x
  2. Step 2: Convert to fraction form
    362.28/542.94 = 318.78/x
  3. Step 3: Cross multiply
    362.28x = 542.94 × 318.78
  4. Step 4: Simplify right side
    362.28x = 173,078.41
  5. Step 5: Solve for x
    x = 173,078.41/362.28
  6. Step 6: Final answer
    x = 477.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.