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Finding the Fourth Proportional to 425.26, 636.96 and 208.38

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Solution

The fourth proportional to 425.26, 636.96 and 208.38 is: 312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.26 : 636.96 = 208.38 : x
  2. Step 2: Convert to fraction form
    425.26/636.96 = 208.38/x
  3. Step 3: Cross multiply
    425.26x = 636.96 × 208.38
  4. Step 4: Simplify right side
    425.26x = 132,729.72
  5. Step 5: Solve for x
    x = 132,729.72/425.26
  6. Step 6: Final answer
    x = 312.11

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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.