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Finding the Fourth Proportional to 627.44, 865.94 and 378.77

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Solution

The fourth proportional to 627.44, 865.94 and 378.77 is: 522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.44 : 865.94 = 378.77 : x
  2. Step 2: Convert to fraction form
    627.44/865.94 = 378.77/x
  3. Step 3: Cross multiply
    627.44x = 865.94 × 378.77
  4. Step 4: Simplify right side
    627.44x = 327,985.87
  5. Step 5: Solve for x
    x = 327,985.87/627.44
  6. Step 6: Final answer
    x = 522.74

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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.