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Finding the Fourth Proportional to 627.46, 941.20 and 262.25

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Solution

The fourth proportional to 627.46, 941.20 and 262.25 is: 393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.46 : 941.20 = 262.25 : x
  2. Step 2: Convert to fraction form
    627.46/941.20 = 262.25/x
  3. Step 3: Cross multiply
    627.46x = 941.20 × 262.25
  4. Step 4: Simplify right side
    627.46x = 246,829.70
  5. Step 5: Solve for x
    x = 246,829.70/627.46
  6. Step 6: Final answer
    x = 393.38

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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.