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Finding the Fourth Proportional to 451.78, 622.20 and 442.24

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Solution

The fourth proportional to 451.78, 622.20 and 442.24 is: 609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.78 : 622.20 = 442.24 : x
  2. Step 2: Convert to fraction form
    451.78/622.20 = 442.24/x
  3. Step 3: Cross multiply
    451.78x = 622.20 × 442.24
  4. Step 4: Simplify right side
    451.78x = 275,161.73
  5. Step 5: Solve for x
    x = 275,161.73/451.78
  6. Step 6: Final answer
    x = 609.06

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