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Finding the Fourth Proportional to 362.81, 500.64 and 205.45

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Solution

The fourth proportional to 362.81, 500.64 and 205.45 is: 283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.81 : 500.64 = 205.45 : x
  2. Step 2: Convert to fraction form
    362.81/500.64 = 205.45/x
  3. Step 3: Cross multiply
    362.81x = 500.64 × 205.45
  4. Step 4: Simplify right side
    362.81x = 102,856.49
  5. Step 5: Solve for x
    x = 102,856.49/362.81
  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.