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Finding the Fourth Proportional to 674.92, 931.67 and 413.09

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Solution

The fourth proportional to 674.92, 931.67 and 413.09 is: 570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 931.67 = 413.09 : x
  2. Step 2: Convert to fraction form
    674.92/931.67 = 413.09/x
  3. Step 3: Cross multiply
    674.92x = 931.67 × 413.09
  4. Step 4: Simplify right side
    674.92x = 384,863.56
  5. Step 5: Solve for x
    x = 384,863.56/674.92
  6. Step 6: Final answer
    x = 570.24

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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.