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Finding the Fourth Proportional to 627.40, 865.44 and 394.12

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Solution

The fourth proportional to 627.40, 865.44 and 394.12 is: 543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.40 : 865.44 = 394.12 : x
  2. Step 2: Convert to fraction form
    627.40/865.44 = 394.12/x
  3. Step 3: Cross multiply
    627.40x = 865.44 × 394.12
  4. Step 4: Simplify right side
    627.40x = 341,087.21
  5. Step 5: Solve for x
    x = 341,087.21/627.40
  6. Step 6: Final answer
    x = 543.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.