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Finding the Fourth Proportional to 382.69, 574.41 and 200.03

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Solution

The fourth proportional to 382.69, 574.41 and 200.03 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.69 : 574.41 = 200.03 : x
  2. Step 2: Convert to fraction form
    382.69/574.41 = 200.03/x
  3. Step 3: Cross multiply
    382.69x = 574.41 × 200.03
  4. Step 4: Simplify right side
    382.69x = 114,899.23
  5. Step 5: Solve for x
    x = 114,899.23/382.69
  6. Step 6: Final answer
    x = 300.24

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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.