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Finding the Fourth Proportional to 627.95, 941.94 and 384.44

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Solution

The fourth proportional to 627.95, 941.94 and 384.44 is: 576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.95 : 941.94 = 384.44 : x
  2. Step 2: Convert to fraction form
    627.95/941.94 = 384.44/x
  3. Step 3: Cross multiply
    627.95x = 941.94 × 384.44
  4. Step 4: Simplify right side
    627.95x = 362,114.70
  5. Step 5: Solve for x
    x = 362,114.70/627.95
  6. Step 6: Final answer
    x = 576.66

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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.