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Finding the Fourth Proportional to 324.53, 485.84 and 243.73

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Solution

The fourth proportional to 324.53, 485.84 and 243.73 is: 364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.53 : 485.84 = 243.73 : x
  2. Step 2: Convert to fraction form
    324.53/485.84 = 243.73/x
  3. Step 3: Cross multiply
    324.53x = 485.84 × 243.73
  4. Step 4: Simplify right side
    324.53x = 118,413.78
  5. Step 5: Solve for x
    x = 118,413.78/324.53
  6. Step 6: Final answer
    x = 364.88

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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.