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Finding the Fourth Proportional to 363.01, 500.94 and 205.64

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Solution

The fourth proportional to 363.01, 500.94 and 205.64 is: 283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.01 : 500.94 = 205.64 : x
  2. Step 2: Convert to fraction form
    363.01/500.94 = 205.64/x
  3. Step 3: Cross multiply
    363.01x = 500.94 × 205.64
  4. Step 4: Simplify right side
    363.01x = 103,010.80
  5. Step 5: Solve for x
    x = 103,010.80/363.01
  6. Step 6: Final answer
    x = 283.77

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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.