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Finding the Fourth Proportional to 363.09, 500.67 and 284.27

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Solution

The fourth proportional to 363.09, 500.67 and 284.27 is: 391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.09 : 500.67 = 284.27 : x
  2. Step 2: Convert to fraction form
    363.09/500.67 = 284.27/x
  3. Step 3: Cross multiply
    363.09x = 500.67 × 284.27
  4. Step 4: Simplify right side
    363.09x = 142,322.96
  5. Step 5: Solve for x
    x = 142,322.96/363.09
  6. Step 6: Final answer
    x = 391.98

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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.