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Finding the Fourth Proportional to 623.27, 860.46 and 413.73

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Solution

The fourth proportional to 623.27, 860.46 and 413.73 is: 571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.27 : 860.46 = 413.73 : x
  2. Step 2: Convert to fraction form
    623.27/860.46 = 413.73/x
  3. Step 3: Cross multiply
    623.27x = 860.46 × 413.73
  4. Step 4: Simplify right side
    623.27x = 355,998.12
  5. Step 5: Solve for x
    x = 355,998.12/623.27
  6. Step 6: Final answer
    x = 571.18

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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.