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Finding the Fourth Proportional to 518.27, 715.10 and 413.73

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Solution

The fourth proportional to 518.27, 715.10 and 413.73 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.27 : 715.10 = 413.73 : x
  2. Step 2: Convert to fraction form
    518.27/715.10 = 413.73/x
  3. Step 3: Cross multiply
    518.27x = 715.10 × 413.73
  4. Step 4: Simplify right side
    518.27x = 295,856.25
  5. Step 5: Solve for x
    x = 295,856.25/518.27
  6. Step 6: Final answer
    x = 570.86

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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.