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Finding the Fourth Proportional to 627.95, 941.12 and 298.69

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Solution

The fourth proportional to 627.95, 941.12 and 298.69 is: 447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.95 : 941.12 = 298.69 : x
  2. Step 2: Convert to fraction form
    627.95/941.12 = 298.69/x
  3. Step 3: Cross multiply
    627.95x = 941.12 × 298.69
  4. Step 4: Simplify right side
    627.95x = 281,100.41
  5. Step 5: Solve for x
    x = 281,100.41/627.95
  6. Step 6: Final answer
    x = 447.65

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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.