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Finding the Fourth Proportional to 362.80, 542.88 and 200.64

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Solution

The fourth proportional to 362.80, 542.88 and 200.64 is: 300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.80 : 542.88 = 200.64 : x
  2. Step 2: Convert to fraction form
    362.80/542.88 = 200.64/x
  3. Step 3: Cross multiply
    362.80x = 542.88 × 200.64
  4. Step 4: Simplify right side
    362.80x = 108,923.44
  5. Step 5: Solve for x
    x = 108,923.44/362.80
  6. Step 6: Final answer
    x = 300.23

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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.