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Finding the Fourth Proportional to 634.37, 950.64 and 269.42

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Solution

The fourth proportional to 634.37, 950.64 and 269.42 is: 403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.37 : 950.64 = 269.42 : x
  2. Step 2: Convert to fraction form
    634.37/950.64 = 269.42/x
  3. Step 3: Cross multiply
    634.37x = 950.64 × 269.42
  4. Step 4: Simplify right side
    634.37x = 256,121.43
  5. Step 5: Solve for x
    x = 256,121.43/634.37
  6. Step 6: Final answer
    x = 403.74

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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.