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Finding the Fourth Proportional to 627.45, 941.17 and 194.61

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Solution

The fourth proportional to 627.45, 941.17 and 194.61 is: 291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.45 : 941.17 = 194.61 : x
  2. Step 2: Convert to fraction form
    627.45/941.17 = 194.61/x
  3. Step 3: Cross multiply
    627.45x = 941.17 × 194.61
  4. Step 4: Simplify right side
    627.45x = 183,161.34
  5. Step 5: Solve for x
    x = 183,161.34/627.45
  6. Step 6: Final answer
    x = 291.91

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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.