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Finding the Fourth Proportional to 362.27, 500.43 and 264.57

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Solution

The fourth proportional to 362.27, 500.43 and 264.57 is: 365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.27 : 500.43 = 264.57 : x
  2. Step 2: Convert to fraction form
    362.27/500.43 = 264.57/x
  3. Step 3: Cross multiply
    362.27x = 500.43 × 264.57
  4. Step 4: Simplify right side
    362.27x = 132,396.39
  5. Step 5: Solve for x
    x = 132,396.39/362.27
  6. Step 6: Final answer
    x = 365.46

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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.