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Finding the Fourth Proportional to 413.57, 619.25 and 230.03

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Solution

The fourth proportional to 413.57, 619.25 and 230.03 is: 344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.57 : 619.25 = 230.03 : x
  2. Step 2: Convert to fraction form
    413.57/619.25 = 230.03/x
  3. Step 3: Cross multiply
    413.57x = 619.25 × 230.03
  4. Step 4: Simplify right side
    413.57x = 142,441.83
  5. Step 5: Solve for x
    x = 142,441.83/413.57
  6. Step 6: Final answer
    x = 344.42

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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.