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Finding the Fourth Proportional to 382.83, 574.26 and 200.28

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Solution

The fourth proportional to 382.83, 574.26 and 200.28 is: 300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.83 : 574.26 = 200.28 : x
  2. Step 2: Convert to fraction form
    382.83/574.26 = 200.28/x
  3. Step 3: Cross multiply
    382.83x = 574.26 × 200.28
  4. Step 4: Simplify right side
    382.83x = 115,012.79
  5. Step 5: Solve for x
    x = 115,012.79/382.83
  6. Step 6: Final answer
    x = 300.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.