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Finding the Fourth Proportional to 627.92, 866.35 and 365.88

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Solution

The fourth proportional to 627.92, 866.35 and 365.88 is: 504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.92 : 866.35 = 365.88 : x
  2. Step 2: Convert to fraction form
    627.92/866.35 = 365.88/x
  3. Step 3: Cross multiply
    627.92x = 866.35 × 365.88
  4. Step 4: Simplify right side
    627.92x = 316,978.31
  5. Step 5: Solve for x
    x = 316,978.31/627.92
  6. Step 6: Final answer
    x = 504.81

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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.