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Finding the Fourth Proportional to 622.98, 859.83 and 413.16

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Solution

The fourth proportional to 622.98, 859.83 and 413.16 is: 570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.98 : 859.83 = 413.16 : x
  2. Step 2: Convert to fraction form
    622.98/859.83 = 413.16/x
  3. Step 3: Cross multiply
    622.98x = 859.83 × 413.16
  4. Step 4: Simplify right side
    622.98x = 355,247.36
  5. Step 5: Solve for x
    x = 355,247.36/622.98
  6. Step 6: Final answer
    x = 570.24

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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.