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Finding the Fourth Proportional to 634.38, 950.13 and 428.64

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Solution

The fourth proportional to 634.38, 950.13 and 428.64 is: 641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.38 : 950.13 = 428.64 : x
  2. Step 2: Convert to fraction form
    634.38/950.13 = 428.64/x
  3. Step 3: Cross multiply
    634.38x = 950.13 × 428.64
  4. Step 4: Simplify right side
    634.38x = 407,263.72
  5. Step 5: Solve for x
    x = 407,263.72/634.38
  6. Step 6: Final answer
    x = 641.99

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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.