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Finding the Fourth Proportional to 627.02, 865.17 and 365.12

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Solution

The fourth proportional to 627.02, 865.17 and 365.12 is: 503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.02 : 865.17 = 365.12 : x
  2. Step 2: Convert to fraction form
    627.02/865.17 = 365.12/x
  3. Step 3: Cross multiply
    627.02x = 865.17 × 365.12
  4. Step 4: Simplify right side
    627.02x = 315,886.54
  5. Step 5: Solve for x
    x = 315,886.54/627.02
  6. Step 6: Final answer
    x = 503.79

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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.