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Finding the Fourth Proportional to 382.80, 573.96 and 200.26

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Solution

The fourth proportional to 382.80, 573.96 and 200.26 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.80 : 573.96 = 200.26 : x
  2. Step 2: Convert to fraction form
    382.80/573.96 = 200.26/x
  3. Step 3: Cross multiply
    382.80x = 573.96 × 200.26
  4. Step 4: Simplify right side
    382.80x = 114,941.23
  5. Step 5: Solve for x
    x = 114,941.23/382.80
  6. Step 6: Final answer
    x = 300.26

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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.