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Finding the Fourth Proportional to 362.76, 500.50 and 205.38

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Solution

The fourth proportional to 362.76, 500.50 and 205.38 is: 283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.76 : 500.50 = 205.38 : x
  2. Step 2: Convert to fraction form
    362.76/500.50 = 205.38/x
  3. Step 3: Cross multiply
    362.76x = 500.50 × 205.38
  4. Step 4: Simplify right side
    362.76x = 102,789.67
  5. Step 5: Solve for x
    x = 102,789.67/362.76
  6. Step 6: Final answer
    x = 283.35

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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.