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Finding the Fourth Proportional to 362.60, 500.35 and 205.24

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Solution

The fourth proportional to 362.60, 500.35 and 205.24 is: 283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.60 : 500.35 = 205.24 : x
  2. Step 2: Convert to fraction form
    362.60/500.35 = 205.24/x
  3. Step 3: Cross multiply
    362.60x = 500.35 × 205.24
  4. Step 4: Simplify right side
    362.60x = 102,691.83
  5. Step 5: Solve for x
    x = 102,691.83/362.60
  6. Step 6: Final answer
    x = 283.21

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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.