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Finding the Fourth Proportional to 627.25, 865.61 and 365.44

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Solution

The fourth proportional to 627.25, 865.61 and 365.44 is: 504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.25 : 865.61 = 365.44 : x
  2. Step 2: Convert to fraction form
    627.25/865.61 = 365.44/x
  3. Step 3: Cross multiply
    627.25x = 865.61 × 365.44
  4. Step 4: Simplify right side
    627.25x = 316,328.52
  5. Step 5: Solve for x
    x = 316,328.52/627.25
  6. Step 6: Final answer
    x = 504.31

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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.