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Finding the Fourth Proportional to 362.31, 500.04 and 204.98

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Solution

The fourth proportional to 362.31, 500.04 and 204.98 is: 282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.31 : 500.04 = 204.98 : x
  2. Step 2: Convert to fraction form
    362.31/500.04 = 204.98/x
  3. Step 3: Cross multiply
    362.31x = 500.04 × 204.98
  4. Step 4: Simplify right side
    362.31x = 102,498.20
  5. Step 5: Solve for x
    x = 102,498.20/362.31
  6. Step 6: Final answer
    x = 282.90

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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.