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Finding the Fourth Proportional to 625.65, 863.46 and 413.18

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Solution

The fourth proportional to 625.65, 863.46 and 413.18 is: 570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.65 : 863.46 = 413.18 : x
  2. Step 2: Convert to fraction form
    625.65/863.46 = 413.18/x
  3. Step 3: Cross multiply
    625.65x = 863.46 × 413.18
  4. Step 4: Simplify right side
    625.65x = 356,760.09
  5. Step 5: Solve for x
    x = 356,760.09/625.65
  6. Step 6: Final answer
    x = 570.22

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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.