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Finding the Fourth Proportional to 383.91, 576.09 and 201.30

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Solution

The fourth proportional to 383.91, 576.09 and 201.30 is: 302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.91 : 576.09 = 201.30 : x
  2. Step 2: Convert to fraction form
    383.91/576.09 = 201.30/x
  3. Step 3: Cross multiply
    383.91x = 576.09 × 201.30
  4. Step 4: Simplify right side
    383.91x = 115,963.03
  5. Step 5: Solve for x
    x = 115,963.03/383.91
  6. Step 6: Final answer
    x = 302.06

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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.