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Finding the Fourth Proportional to 383.98, 576.10 and 201.37

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Solution

The fourth proportional to 383.98, 576.10 and 201.37 is: 302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.98 : 576.10 = 201.37 : x
  2. Step 2: Convert to fraction form
    383.98/576.10 = 201.37/x
  3. Step 3: Cross multiply
    383.98x = 576.10 × 201.37
  4. Step 4: Simplify right side
    383.98x = 116,005.87
  5. Step 5: Solve for x
    x = 116,005.87/383.98
  6. Step 6: Final answer
    x = 302.12

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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.