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Finding the Fourth Proportional to 395.82, 546.24 and 221.22

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Solution

The fourth proportional to 395.82, 546.24 and 221.22 is: 305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.82 : 546.24 = 221.22 : x
  2. Step 2: Convert to fraction form
    395.82/546.24 = 221.22/x
  3. Step 3: Cross multiply
    395.82x = 546.24 × 221.22
  4. Step 4: Simplify right side
    395.82x = 120,839.21
  5. Step 5: Solve for x
    x = 120,839.21/395.82
  6. Step 6: Final answer
    x = 305.29

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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.