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Finding the Fourth Proportional to 627.35, 865.75 and 365.37

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Solution

The fourth proportional to 627.35, 865.75 and 365.37 is: 504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.35 : 865.75 = 365.37 : x
  2. Step 2: Convert to fraction form
    627.35/865.75 = 365.37/x
  3. Step 3: Cross multiply
    627.35x = 865.75 × 365.37
  4. Step 4: Simplify right side
    627.35x = 316,312.92
  5. Step 5: Solve for x
    x = 316,312.92/627.35
  6. Step 6: Final answer
    x = 504.20

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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.