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Finding the Fourth Proportional to 413.86, 617.59 and 367.84

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Solution

The fourth proportional to 413.86, 617.59 and 367.84 is: 548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 617.59 = 367.84 : x
  2. Step 2: Convert to fraction form
    413.86/617.59 = 367.84/x
  3. Step 3: Cross multiply
    413.86x = 617.59 × 367.84
  4. Step 4: Simplify right side
    413.86x = 227,174.31
  5. Step 5: Solve for x
    x = 227,174.31/413.86
  6. Step 6: Final answer
    x = 548.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.