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Finding the Fourth Proportional to 627.33, 865.77 and 365.37

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Solution

The fourth proportional to 627.33, 865.77 and 365.37 is: 504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.33 : 865.77 = 365.37 : x
  2. Step 2: Convert to fraction form
    627.33/865.77 = 365.37/x
  3. Step 3: Cross multiply
    627.33x = 865.77 × 365.37
  4. Step 4: Simplify right side
    627.33x = 316,326.38
  5. Step 5: Solve for x
    x = 316,326.38/627.33
  6. Step 6: Final answer
    x = 504.24

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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.