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Finding the Fourth Proportional to 451.23, 622.66 and 254.74

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Solution

The fourth proportional to 451.23, 622.66 and 254.74 is: 351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.23 : 622.66 = 254.74 : x
  2. Step 2: Convert to fraction form
    451.23/622.66 = 254.74/x
  3. Step 3: Cross multiply
    451.23x = 622.66 × 254.74
  4. Step 4: Simplify right side
    451.23x = 158,616.41
  5. Step 5: Solve for x
    x = 158,616.41/451.23
  6. Step 6: Final answer
    x = 351.52

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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.