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Finding the Fourth Proportional to 362.64, 500.80 and 262.88

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Solution

The fourth proportional to 362.64, 500.80 and 262.88 is: 363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.64 : 500.80 = 262.88 : x
  2. Step 2: Convert to fraction form
    362.64/500.80 = 262.88/x
  3. Step 3: Cross multiply
    362.64x = 500.80 × 262.88
  4. Step 4: Simplify right side
    362.64x = 131,650.30
  5. Step 5: Solve for x
    x = 131,650.30/362.64
  6. Step 6: Final answer
    x = 363.03

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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.