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Finding the Fourth Proportional to 413.58, 620.83 and 208.10

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Solution

The fourth proportional to 413.58, 620.83 and 208.10 is: 312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.58 : 620.83 = 208.10 : x
  2. Step 2: Convert to fraction form
    413.58/620.83 = 208.10/x
  3. Step 3: Cross multiply
    413.58x = 620.83 × 208.10
  4. Step 4: Simplify right side
    413.58x = 129,191.10
  5. Step 5: Solve for x
    x = 129,191.10/413.58
  6. Step 6: Final answer
    x = 312.37

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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.