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Finding the Fourth Proportional to 382.93, 574.31 and 200.23

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Solution

The fourth proportional to 382.93, 574.31 and 200.23 is: 300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.93 : 574.31 = 200.23 : x
  2. Step 2: Convert to fraction form
    382.93/574.31 = 200.23/x
  3. Step 3: Cross multiply
    382.93x = 574.31 × 200.23
  4. Step 4: Simplify right side
    382.93x = 114,993.16
  5. Step 5: Solve for x
    x = 114,993.16/382.93
  6. Step 6: Final answer
    x = 300.30

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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.