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Finding the Fourth Proportional to 627.50, 866 and 365.50

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Solution

The fourth proportional to 627.50, 866 and 365.50 is: 504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.50 : 866 = 365.50 : x
  2. Step 2: Convert to fraction form
    627.50/866 = 365.50/x
  3. Step 3: Cross multiply
    627.50x = 866 × 365.50
  4. Step 4: Simplify right side
    627.50x = 316,523
  5. Step 5: Solve for x
    x = 316,523/627.50
  6. Step 6: Final answer
    x = 504.42

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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.