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Finding the Fourth Proportional to 413.85, 620.30 and 208.56

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Solution

The fourth proportional to 413.85, 620.30 and 208.56 is: 312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.85 : 620.30 = 208.56 : x
  2. Step 2: Convert to fraction form
    413.85/620.30 = 208.56/x
  3. Step 3: Cross multiply
    413.85x = 620.30 × 208.56
  4. Step 4: Simplify right side
    413.85x = 129,369.77
  5. Step 5: Solve for x
    x = 129,369.77/413.85
  6. Step 6: Final answer
    x = 312.60

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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.