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Finding the Fourth Proportional to 627.41, 865.92 and 378.76

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Solution

The fourth proportional to 627.41, 865.92 and 378.76 is: 522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.41 : 865.92 = 378.76 : x
  2. Step 2: Convert to fraction form
    627.41/865.92 = 378.76/x
  3. Step 3: Cross multiply
    627.41x = 865.92 × 378.76
  4. Step 4: Simplify right side
    627.41x = 327,973.69
  5. Step 5: Solve for x
    x = 327,973.69/627.41
  6. Step 6: Final answer
    x = 522.75

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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.