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Finding the Fourth Proportional to 450.80, 622.12 and 254.31

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Solution

The fourth proportional to 450.80, 622.12 and 254.31 is: 350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.80 : 622.12 = 254.31 : x
  2. Step 2: Convert to fraction form
    450.80/622.12 = 254.31/x
  3. Step 3: Cross multiply
    450.80x = 622.12 × 254.31
  4. Step 4: Simplify right side
    450.80x = 158,211.34
  5. Step 5: Solve for x
    x = 158,211.34/450.80
  6. Step 6: Final answer
    x = 350.96

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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.