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Finding the Fourth Proportional to 634.64, 951.93 and 223.78

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Solution

The fourth proportional to 634.64, 951.93 and 223.78 is: 335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.64 : 951.93 = 223.78 : x
  2. Step 2: Convert to fraction form
    634.64/951.93 = 223.78/x
  3. Step 3: Cross multiply
    634.64x = 951.93 × 223.78
  4. Step 4: Simplify right side
    634.64x = 213,017.66
  5. Step 5: Solve for x
    x = 213,017.66/634.64
  6. Step 6: Final answer
    x = 335.65

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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.