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Finding the Fourth Proportional to 413.96, 621.06 and 197.54

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Solution

The fourth proportional to 413.96, 621.06 and 197.54 is: 296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.96 : 621.06 = 197.54 : x
  2. Step 2: Convert to fraction form
    413.96/621.06 = 197.54/x
  3. Step 3: Cross multiply
    413.96x = 621.06 × 197.54
  4. Step 4: Simplify right side
    413.96x = 122,684.19
  5. Step 5: Solve for x
    x = 122,684.19/413.96
  6. Step 6: Final answer
    x = 296.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.