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Finding the Fourth Proportional to 338.20, 506.32 and 209.08

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Solution

The fourth proportional to 338.20, 506.32 and 209.08 is: 313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.20 : 506.32 = 209.08 : x
  2. Step 2: Convert to fraction form
    338.20/506.32 = 209.08/x
  3. Step 3: Cross multiply
    338.20x = 506.32 × 209.08
  4. Step 4: Simplify right side
    338.20x = 105,861.39
  5. Step 5: Solve for x
    x = 105,861.39/338.20
  6. Step 6: Final answer
    x = 313.01

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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.