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Finding the Fourth Proportional to 413.78, 620.30 and 208.06

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Solution

The fourth proportional to 413.78, 620.30 and 208.06 is: 311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 620.30 = 208.06 : x
  2. Step 2: Convert to fraction form
    413.78/620.30 = 208.06/x
  3. Step 3: Cross multiply
    413.78x = 620.30 × 208.06
  4. Step 4: Simplify right side
    413.78x = 129,058.59
  5. Step 5: Solve for x
    x = 129,058.59/413.78
  6. Step 6: Final answer
    x = 311.91

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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.