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Finding the Fourth Proportional to 627.22, 865.54 and 365.39

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Solution

The fourth proportional to 627.22, 865.54 and 365.39 is: 504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.22 : 865.54 = 365.39 : x
  2. Step 2: Convert to fraction form
    627.22/865.54 = 365.39/x
  3. Step 3: Cross multiply
    627.22x = 865.54 × 365.39
  4. Step 4: Simplify right side
    627.22x = 316,259.66
  5. Step 5: Solve for x
    x = 316,259.66/627.22
  6. Step 6: Final answer
    x = 504.22

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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.