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Finding the Fourth Proportional to 627.78, 940.44 and 410.70

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Solution

The fourth proportional to 627.78, 940.44 and 410.70 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.78 : 940.44 = 410.70 : x
  2. Step 2: Convert to fraction form
    627.78/940.44 = 410.70/x
  3. Step 3: Cross multiply
    627.78x = 940.44 × 410.70
  4. Step 4: Simplify right side
    627.78x = 386,238.71
  5. Step 5: Solve for x
    x = 386,238.71/627.78
  6. Step 6: Final answer
    x = 615.25

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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.