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Finding the Fourth Proportional to 333.31, 459.77 and 200.49

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Solution

The fourth proportional to 333.31, 459.77 and 200.49 is: 276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.31 : 459.77 = 200.49 : x
  2. Step 2: Convert to fraction form
    333.31/459.77 = 200.49/x
  3. Step 3: Cross multiply
    333.31x = 459.77 × 200.49
  4. Step 4: Simplify right side
    333.31x = 92,179.29
  5. Step 5: Solve for x
    x = 92,179.29/333.31
  6. Step 6: Final answer
    x = 276.56

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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.