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Finding the Fourth Proportional to 455, 627.96 and 299.84

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Solution

The fourth proportional to 455, 627.96 and 299.84 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455 : 627.96 = 299.84 : x
  2. Step 2: Convert to fraction form
    455/627.96 = 299.84/x
  3. Step 3: Cross multiply
    455x = 627.96 × 299.84
  4. Step 4: Simplify right side
    455x = 188,287.53
  5. Step 5: Solve for x
    x = 188,287.53/455
  6. Step 6: Final answer
    x = 413.82

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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.