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Finding the Fourth Proportional to 627.23, 940.55 and 280.57

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Solution

The fourth proportional to 627.23, 940.55 and 280.57 is: 420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.23 : 940.55 = 280.57 : x
  2. Step 2: Convert to fraction form
    627.23/940.55 = 280.57/x
  3. Step 3: Cross multiply
    627.23x = 940.55 × 280.57
  4. Step 4: Simplify right side
    627.23x = 263,887.06
  5. Step 5: Solve for x
    x = 263,887.06/627.23
  6. Step 6: Final answer
    x = 420.72

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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.