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Finding the Fourth Proportional to 627.16, 863.21 and 577.95

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Solution

The fourth proportional to 627.16, 863.21 and 577.95 is: 795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.16 : 863.21 = 577.95 : x
  2. Step 2: Convert to fraction form
    627.16/863.21 = 577.95/x
  3. Step 3: Cross multiply
    627.16x = 863.21 × 577.95
  4. Step 4: Simplify right side
    627.16x = 498,892.22
  5. Step 5: Solve for x
    x = 498,892.22/627.16
  6. Step 6: Final answer
    x = 795.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.