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Finding the Fourth Proportional to 627.78, 866.37 and 365.78

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Solution

The fourth proportional to 627.78, 866.37 and 365.78 is: 504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.78 : 866.37 = 365.78 : x
  2. Step 2: Convert to fraction form
    627.78/866.37 = 365.78/x
  3. Step 3: Cross multiply
    627.78x = 866.37 × 365.78
  4. Step 4: Simplify right side
    627.78x = 316,900.82
  5. Step 5: Solve for x
    x = 316,900.82/627.78
  6. Step 6: Final answer
    x = 504.80

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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.