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Finding the Fourth Proportional to 450.94, 622.24 and 254.46

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Solution

The fourth proportional to 450.94, 622.24 and 254.46 is: 351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.94 : 622.24 = 254.46 : x
  2. Step 2: Convert to fraction form
    450.94/622.24 = 254.46/x
  3. Step 3: Cross multiply
    450.94x = 622.24 × 254.46
  4. Step 4: Simplify right side
    450.94x = 158,335.19
  5. Step 5: Solve for x
    x = 158,335.19/450.94
  6. Step 6: Final answer
    x = 351.12

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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.