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Finding the Fourth Proportional to 338.29, 506.74 and 297.21

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Solution

The fourth proportional to 338.29, 506.74 and 297.21 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.29 : 506.74 = 297.21 : x
  2. Step 2: Convert to fraction form
    338.29/506.74 = 297.21/x
  3. Step 3: Cross multiply
    338.29x = 506.74 × 297.21
  4. Step 4: Simplify right side
    338.29x = 150,609.91
  5. Step 5: Solve for x
    x = 150,609.91/338.29
  6. Step 6: Final answer
    x = 445.21

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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.