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Finding the Fourth Proportional to 413.83, 620.88 and 197.38

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Solution

The fourth proportional to 413.83, 620.88 and 197.38 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.83 : 620.88 = 197.38 : x
  2. Step 2: Convert to fraction form
    413.83/620.88 = 197.38/x
  3. Step 3: Cross multiply
    413.83x = 620.88 × 197.38
  4. Step 4: Simplify right side
    413.83x = 122,549.29
  5. Step 5: Solve for x
    x = 122,549.29/413.83
  6. Step 6: Final answer
    x = 296.13

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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.