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Finding the Fourth Proportional to 452.57, 677.87 and 220.97

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Solution

The fourth proportional to 452.57, 677.87 and 220.97 is: 330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.57 : 677.87 = 220.97 : x
  2. Step 2: Convert to fraction form
    452.57/677.87 = 220.97/x
  3. Step 3: Cross multiply
    452.57x = 677.87 × 220.97
  4. Step 4: Simplify right side
    452.57x = 149,790.35
  5. Step 5: Solve for x
    x = 149,790.35/452.57
  6. Step 6: Final answer
    x = 330.98

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Why These Related Problems?

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