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Finding the Fourth Proportional to 632.20, 947.82 and 221.20

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Solution

The fourth proportional to 632.20, 947.82 and 221.20 is: 331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.20 : 947.82 = 221.20 : x
  2. Step 2: Convert to fraction form
    632.20/947.82 = 221.20/x
  3. Step 3: Cross multiply
    632.20x = 947.82 × 221.20
  4. Step 4: Simplify right side
    632.20x = 209,657.78
  5. Step 5: Solve for x
    x = 209,657.78/632.20
  6. Step 6: Final answer
    x = 331.63

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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.