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Finding the Fourth Proportional to 397.36, 595.26 and 201.88

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Solution

The fourth proportional to 397.36, 595.26 and 201.88 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.36 : 595.26 = 201.88 : x
  2. Step 2: Convert to fraction form
    397.36/595.26 = 201.88/x
  3. Step 3: Cross multiply
    397.36x = 595.26 × 201.88
  4. Step 4: Simplify right side
    397.36x = 120,171.09
  5. Step 5: Solve for x
    x = 120,171.09/397.36
  6. Step 6: Final answer
    x = 302.42

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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.