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Finding the Fourth Proportional to 578.22, 867.46 and 413.88

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Solution

The fourth proportional to 578.22, 867.46 and 413.88 is: 620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 867.46 = 413.88 : x
  2. Step 2: Convert to fraction form
    578.22/867.46 = 413.88/x
  3. Step 3: Cross multiply
    578.22x = 867.46 × 413.88
  4. Step 4: Simplify right side
    578.22x = 359,024.34
  5. Step 5: Solve for x
    x = 359,024.34/578.22
  6. Step 6: Final answer
    x = 620.91

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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.