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Finding the Fourth Proportional to 395.87, 546.25 and 221.23

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Solution

The fourth proportional to 395.87, 546.25 and 221.23 is: 305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.87 : 546.25 = 221.23 : x
  2. Step 2: Convert to fraction form
    395.87/546.25 = 221.23/x
  3. Step 3: Cross multiply
    395.87x = 546.25 × 221.23
  4. Step 4: Simplify right side
    395.87x = 120,843.05
  5. Step 5: Solve for x
    x = 120,843.05/395.87
  6. Step 6: Final answer
    x = 305.26

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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.