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Finding the Fourth Proportional to 283.50, 422.82 and 255.96

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Solution

The fourth proportional to 283.50, 422.82 and 255.96 is: 381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 422.82 = 255.96 : x
  2. Step 2: Convert to fraction form
    283.50/422.82 = 255.96/x
  3. Step 3: Cross multiply
    283.50x = 422.82 × 255.96
  4. Step 4: Simplify right side
    283.50x = 108,225.01
  5. Step 5: Solve for x
    x = 108,225.01/283.50
  6. Step 6: Final answer
    x = 381.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.