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Finding the Fourth Proportional to 632.58, 947.82 and 221.49

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Solution

The fourth proportional to 632.58, 947.82 and 221.49 is: 331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 947.82 = 221.49 : x
  2. Step 2: Convert to fraction form
    632.58/947.82 = 221.49/x
  3. Step 3: Cross multiply
    632.58x = 947.82 × 221.49
  4. Step 4: Simplify right side
    632.58x = 209,932.65
  5. Step 5: Solve for x
    x = 209,932.65/632.58
  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.