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Finding the Fourth Proportional to 627.85, 941.86 and 232.48

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Solution

The fourth proportional to 627.85, 941.86 and 232.48 is: 348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.85 : 941.86 = 232.48 : x
  2. Step 2: Convert to fraction form
    627.85/941.86 = 232.48/x
  3. Step 3: Cross multiply
    627.85x = 941.86 × 232.48
  4. Step 4: Simplify right side
    627.85x = 218,963.75
  5. Step 5: Solve for x
    x = 218,963.75/627.85
  6. Step 6: Final answer
    x = 348.75

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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.