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Finding the Fourth Proportional to 451.57, 677.42 and 220.47

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Solution

The fourth proportional to 451.57, 677.42 and 220.47 is: 330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.57 : 677.42 = 220.47 : x
  2. Step 2: Convert to fraction form
    451.57/677.42 = 220.47/x
  3. Step 3: Cross multiply
    451.57x = 677.42 × 220.47
  4. Step 4: Simplify right side
    451.57x = 149,351.34
  5. Step 5: Solve for x
    x = 149,351.34/451.57
  6. Step 6: Final answer
    x = 330.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.