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Finding the Fourth Proportional to 338.20, 506.38 and 282.92

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Solution

The fourth proportional to 338.20, 506.38 and 282.92 is: 423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.20 : 506.38 = 282.92 : x
  2. Step 2: Convert to fraction form
    338.20/506.38 = 282.92/x
  3. Step 3: Cross multiply
    338.20x = 506.38 × 282.92
  4. Step 4: Simplify right side
    338.20x = 143,261.79
  5. Step 5: Solve for x
    x = 143,261.79/338.20
  6. Step 6: Final answer
    x = 423.60

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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.