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Finding the Fourth Proportional to 627.51, 942.21 and 385.05

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Solution

The fourth proportional to 627.51, 942.21 and 385.05 is: 578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.51 : 942.21 = 385.05 : x
  2. Step 2: Convert to fraction form
    627.51/942.21 = 385.05/x
  3. Step 3: Cross multiply
    627.51x = 942.21 × 385.05
  4. Step 4: Simplify right side
    627.51x = 362,797.96
  5. Step 5: Solve for x
    x = 362,797.96/627.51
  6. Step 6: Final answer
    x = 578.15

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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.