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Finding the Fourth Proportional to 634.26, 951.28 and 172.09

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Solution

The fourth proportional to 634.26, 951.28 and 172.09 is: 258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.26 : 951.28 = 172.09 : x
  2. Step 2: Convert to fraction form
    634.26/951.28 = 172.09/x
  3. Step 3: Cross multiply
    634.26x = 951.28 × 172.09
  4. Step 4: Simplify right side
    634.26x = 163,705.78
  5. Step 5: Solve for x
    x = 163,705.78/634.26
  6. Step 6: Final answer
    x = 258.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.