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Finding the Fourth Proportional to 363.37, 500.86 and 284.56

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Solution

The fourth proportional to 363.37, 500.86 and 284.56 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.37 : 500.86 = 284.56 : x
  2. Step 2: Convert to fraction form
    363.37/500.86 = 284.56/x
  3. Step 3: Cross multiply
    363.37x = 500.86 × 284.56
  4. Step 4: Simplify right side
    363.37x = 142,524.72
  5. Step 5: Solve for x
    x = 142,524.72/363.37
  6. Step 6: Final answer
    x = 392.23

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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.