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Finding the Fourth Proportional to 627.20, 865.44 and 365.24

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Solution

The fourth proportional to 627.20, 865.44 and 365.24 is: 503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.20 : 865.44 = 365.24 : x
  2. Step 2: Convert to fraction form
    627.20/865.44 = 365.24/x
  3. Step 3: Cross multiply
    627.20x = 865.44 × 365.24
  4. Step 4: Simplify right side
    627.20x = 316,093.31
  5. Step 5: Solve for x
    x = 316,093.31/627.20
  6. Step 6: Final answer
    x = 503.98

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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.