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Finding the Fourth Proportional to 711.96, 982.29 and 413.15

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Solution

The fourth proportional to 711.96, 982.29 and 413.15 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.96 : 982.29 = 413.15 : x
  2. Step 2: Convert to fraction form
    711.96/982.29 = 413.15/x
  3. Step 3: Cross multiply
    711.96x = 982.29 × 413.15
  4. Step 4: Simplify right side
    711.96x = 405,833.53
  5. Step 5: Solve for x
    x = 405,833.53/711.96
  6. Step 6: Final answer
    x = 570.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.