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Finding the Fourth Proportional to 455.82, 627.66 and 324.60

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Solution

The fourth proportional to 455.82, 627.66 and 324.60 is: 446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.82 : 627.66 = 324.60 : x
  2. Step 2: Convert to fraction form
    455.82/627.66 = 324.60/x
  3. Step 3: Cross multiply
    455.82x = 627.66 × 324.60
  4. Step 4: Simplify right side
    455.82x = 203,738.44
  5. Step 5: Solve for x
    x = 203,738.44/455.82
  6. Step 6: Final answer
    x = 446.97

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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.