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Finding the Fourth Proportional to 362.30, 542.52 and 252.95

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Solution

The fourth proportional to 362.30, 542.52 and 252.95 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.30 : 542.52 = 252.95 : x
  2. Step 2: Convert to fraction form
    362.30/542.52 = 252.95/x
  3. Step 3: Cross multiply
    362.30x = 542.52 × 252.95
  4. Step 4: Simplify right side
    362.30x = 137,227.72
  5. Step 5: Solve for x
    x = 137,227.72/362.30
  6. Step 6: Final answer
    x = 378.77

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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.