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Finding the Fourth Proportional to 362.88, 500.68 and 205.48

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Solution

The fourth proportional to 362.88, 500.68 and 205.48 is: 283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 500.68 = 205.48 : x
  2. Step 2: Convert to fraction form
    362.88/500.68 = 205.48/x
  3. Step 3: Cross multiply
    362.88x = 500.68 × 205.48
  4. Step 4: Simplify right side
    362.88x = 102,877.96
  5. Step 5: Solve for x
    x = 102,877.96/362.88
  6. Step 6: Final answer
    x = 283.50

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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.