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Finding the Fourth Proportional to 413.54, 619.46 and 204.99

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Solution

The fourth proportional to 413.54, 619.46 and 204.99 is: 307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 619.46 = 204.99 : x
  2. Step 2: Convert to fraction form
    413.54/619.46 = 204.99/x
  3. Step 3: Cross multiply
    413.54x = 619.46 × 204.99
  4. Step 4: Simplify right side
    413.54x = 126,982.08
  5. Step 5: Solve for x
    x = 126,982.08/413.54
  6. Step 6: Final answer
    x = 307.06

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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.