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Finding the Fourth Proportional to 413.91, 621.14 and 197.51

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Solution

The fourth proportional to 413.91, 621.14 and 197.51 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.91 : 621.14 = 197.51 : x
  2. Step 2: Convert to fraction form
    413.91/621.14 = 197.51/x
  3. Step 3: Cross multiply
    413.91x = 621.14 × 197.51
  4. Step 4: Simplify right side
    413.91x = 122,677.27
  5. Step 5: Solve for x
    x = 122,677.27/413.91
  6. Step 6: Final answer
    x = 296.39

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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.