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Finding the Fourth Proportional to 362.84, 500.68 and 205.47

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Solution

The fourth proportional to 362.84, 500.68 and 205.47 is: 283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.84 : 500.68 = 205.47 : x
  2. Step 2: Convert to fraction form
    362.84/500.68 = 205.47/x
  3. Step 3: Cross multiply
    362.84x = 500.68 × 205.47
  4. Step 4: Simplify right side
    362.84x = 102,874.72
  5. Step 5: Solve for x
    x = 102,874.72/362.84
  6. Step 6: Final answer
    x = 283.53

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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.