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Finding the Fourth Proportional to 383.14, 574.71 and 200.44

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Solution

The fourth proportional to 383.14, 574.71 and 200.44 is: 300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.14 : 574.71 = 200.44 : x
  2. Step 2: Convert to fraction form
    383.14/574.71 = 200.44/x
  3. Step 3: Cross multiply
    383.14x = 574.71 × 200.44
  4. Step 4: Simplify right side
    383.14x = 115,194.87
  5. Step 5: Solve for x
    x = 115,194.87/383.14
  6. Step 6: Final answer
    x = 300.66

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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.