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Finding the Fourth Proportional to 683.10, 942.42 and 413.82

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Solution

The fourth proportional to 683.10, 942.42 and 413.82 is: 570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.10 : 942.42 = 413.82 : x
  2. Step 2: Convert to fraction form
    683.10/942.42 = 413.82/x
  3. Step 3: Cross multiply
    683.10x = 942.42 × 413.82
  4. Step 4: Simplify right side
    683.10x = 389,992.24
  5. Step 5: Solve for x
    x = 389,992.24/683.10
  6. Step 6: Final answer
    x = 570.92

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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.