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Finding the Fourth Proportional to 362.24, 500.04 and 262.88

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Solution

The fourth proportional to 362.24, 500.04 and 262.88 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 500.04 = 262.88 : x
  2. Step 2: Convert to fraction form
    362.24/500.04 = 262.88/x
  3. Step 3: Cross multiply
    362.24x = 500.04 × 262.88
  4. Step 4: Simplify right side
    362.24x = 131,450.52
  5. Step 5: Solve for x
    x = 131,450.52/362.24
  6. Step 6: Final answer
    x = 362.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.