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Finding the Fourth Proportional to 338.32, 506.80 and 262.16

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Solution

The fourth proportional to 338.32, 506.80 and 262.16 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 506.80 = 262.16 : x
  2. Step 2: Convert to fraction form
    338.32/506.80 = 262.16/x
  3. Step 3: Cross multiply
    338.32x = 506.80 × 262.16
  4. Step 4: Simplify right side
    338.32x = 132,862.69
  5. Step 5: Solve for x
    x = 132,862.69/338.32
  6. Step 6: Final answer
    x = 392.71

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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.