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Finding the Fourth Proportional to 421.12, 580.97 and 255.27

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Solution

The fourth proportional to 421.12, 580.97 and 255.27 is: 352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 580.97 = 255.27 : x
  2. Step 2: Convert to fraction form
    421.12/580.97 = 255.27/x
  3. Step 3: Cross multiply
    421.12x = 580.97 × 255.27
  4. Step 4: Simplify right side
    421.12x = 148,304.85
  5. Step 5: Solve for x
    x = 148,304.85/421.12
  6. Step 6: Final answer
    x = 352.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.