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Finding the Fourth Proportional to 395.90, 546.36 and 221.24

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Solution

The fourth proportional to 395.90, 546.36 and 221.24 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.90 : 546.36 = 221.24 : x
  2. Step 2: Convert to fraction form
    395.90/546.36 = 221.24/x
  3. Step 3: Cross multiply
    395.90x = 546.36 × 221.24
  4. Step 4: Simplify right side
    395.90x = 120,876.69
  5. Step 5: Solve for x
    x = 120,876.69/395.90
  6. Step 6: Final answer
    x = 305.32

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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.