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Finding the Fourth Proportional to 338.45, 506.39 and 206.71

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Solution

The fourth proportional to 338.45, 506.39 and 206.71 is: 309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.45 : 506.39 = 206.71 : x
  2. Step 2: Convert to fraction form
    338.45/506.39 = 206.71/x
  3. Step 3: Cross multiply
    338.45x = 506.39 × 206.71
  4. Step 4: Simplify right side
    338.45x = 104,677.59
  5. Step 5: Solve for x
    x = 104,677.59/338.45
  6. Step 6: Final answer
    x = 309.28

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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.