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Finding the Fourth Proportional to 627.22, 940.78 and 280.58

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Solution

The fourth proportional to 627.22, 940.78 and 280.58 is: 420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.22 : 940.78 = 280.58 : x
  2. Step 2: Convert to fraction form
    627.22/940.78 = 280.58/x
  3. Step 3: Cross multiply
    627.22x = 940.78 × 280.58
  4. Step 4: Simplify right side
    627.22x = 263,962.65
  5. Step 5: Solve for x
    x = 263,962.65/627.22
  6. Step 6: Final answer
    x = 420.85

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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.