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Finding the Fourth Proportional to 621.22, 855.93 and 413.86

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Solution

The fourth proportional to 621.22, 855.93 and 413.86 is: 570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.22 : 855.93 = 413.86 : x
  2. Step 2: Convert to fraction form
    621.22/855.93 = 413.86/x
  3. Step 3: Cross multiply
    621.22x = 855.93 × 413.86
  4. Step 4: Simplify right side
    621.22x = 354,235.19
  5. Step 5: Solve for x
    x = 354,235.19/621.22
  6. Step 6: Final answer
    x = 570.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.