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Finding the Fourth Proportional to 627.12, 940.86 and 410.43

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Solution

The fourth proportional to 627.12, 940.86 and 410.43 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.12 : 940.86 = 410.43 : x
  2. Step 2: Convert to fraction form
    627.12/940.86 = 410.43/x
  3. Step 3: Cross multiply
    627.12x = 940.86 × 410.43
  4. Step 4: Simplify right side
    627.12x = 386,157.17
  5. Step 5: Solve for x
    x = 386,157.17/627.12
  6. Step 6: Final answer
    x = 615.76

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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.