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Finding the Fourth Proportional to 413.13, 619 and 230.42

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Solution

The fourth proportional to 413.13, 619 and 230.42 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 619 = 230.42 : x
  2. Step 2: Convert to fraction form
    413.13/619 = 230.42/x
  3. Step 3: Cross multiply
    413.13x = 619 × 230.42
  4. Step 4: Simplify right side
    413.13x = 142,629.98
  5. Step 5: Solve for x
    x = 142,629.98/413.13
  6. Step 6: Final answer
    x = 345.24

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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.