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Finding the Fourth Proportional to 627.68, 941.82 and 384.44

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Solution

The fourth proportional to 627.68, 941.82 and 384.44 is: 576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.68 : 941.82 = 384.44 : x
  2. Step 2: Convert to fraction form
    627.68/941.82 = 384.44/x
  3. Step 3: Cross multiply
    627.68x = 941.82 × 384.44
  4. Step 4: Simplify right side
    627.68x = 362,073.28
  5. Step 5: Solve for x
    x = 362,073.28/627.68
  6. Step 6: Final answer
    x = 576.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.