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Finding the Fourth Proportional to 413.84, 621.12 and 197.48

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Solution

The fourth proportional to 413.84, 621.12 and 197.48 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 621.12 = 197.48 : x
  2. Step 2: Convert to fraction form
    413.84/621.12 = 197.48/x
  3. Step 3: Cross multiply
    413.84x = 621.12 × 197.48
  4. Step 4: Simplify right side
    413.84x = 122,658.78
  5. Step 5: Solve for x
    x = 122,658.78/413.84
  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.