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Finding the Fourth Proportional to 632.26, 947.85 and 221.37

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Solution

The fourth proportional to 632.26, 947.85 and 221.37 is: 331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.26 : 947.85 = 221.37 : x
  2. Step 2: Convert to fraction form
    632.26/947.85 = 221.37/x
  3. Step 3: Cross multiply
    632.26x = 947.85 × 221.37
  4. Step 4: Simplify right side
    632.26x = 209,825.55
  5. Step 5: Solve for x
    x = 209,825.55/632.26
  6. Step 6: Final answer
    x = 331.87

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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.