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Finding the Fourth Proportional to 362.94, 500.90 and 203.44

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Solution

The fourth proportional to 362.94, 500.90 and 203.44 is: 280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.94 : 500.90 = 203.44 : x
  2. Step 2: Convert to fraction form
    362.94/500.90 = 203.44/x
  3. Step 3: Cross multiply
    362.94x = 500.90 × 203.44
  4. Step 4: Simplify right side
    362.94x = 101,903.10
  5. Step 5: Solve for x
    x = 101,903.10/362.94
  6. Step 6: Final answer
    x = 280.77

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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.