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Finding the Fourth Proportional to 450.91, 622.25 and 254.41

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Solution

The fourth proportional to 450.91, 622.25 and 254.41 is: 351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.91 : 622.25 = 254.41 : x
  2. Step 2: Convert to fraction form
    450.91/622.25 = 254.41/x
  3. Step 3: Cross multiply
    450.91x = 622.25 × 254.41
  4. Step 4: Simplify right side
    450.91x = 158,309.11
  5. Step 5: Solve for x
    x = 158,309.11/450.91
  6. Step 6: Final answer
    x = 351.09

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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.