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Finding the Fourth Proportional to 338.70, 506.58 and 201.42

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Solution

The fourth proportional to 338.70, 506.58 and 201.42 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.70 : 506.58 = 201.42 : x
  2. Step 2: Convert to fraction form
    338.70/506.58 = 201.42/x
  3. Step 3: Cross multiply
    338.70x = 506.58 × 201.42
  4. Step 4: Simplify right side
    338.70x = 102,035.34
  5. Step 5: Solve for x
    x = 102,035.34/338.70
  6. Step 6: Final answer
    x = 301.26

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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.