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Finding the Fourth Proportional to 413.90, 617.43 and 384.44

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Solution

The fourth proportional to 413.90, 617.43 and 384.44 is: 573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.90 : 617.43 = 384.44 : x
  2. Step 2: Convert to fraction form
    413.90/617.43 = 384.44/x
  3. Step 3: Cross multiply
    413.90x = 617.43 × 384.44
  4. Step 4: Simplify right side
    413.90x = 237,361.70
  5. Step 5: Solve for x
    x = 237,361.70/413.90
  6. Step 6: Final answer
    x = 573.48

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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.