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Finding the Fourth Proportional to 627.93, 940.67 and 410.85

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Solution

The fourth proportional to 627.93, 940.67 and 410.85 is: 615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.93 : 940.67 = 410.85 : x
  2. Step 2: Convert to fraction form
    627.93/940.67 = 410.85/x
  3. Step 3: Cross multiply
    627.93x = 940.67 × 410.85
  4. Step 4: Simplify right side
    627.93x = 386,474.27
  5. Step 5: Solve for x
    x = 386,474.27/627.93
  6. Step 6: Final answer
    x = 615.47

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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.