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Finding the Fourth Proportional to 413.33, 618.68 and 230.17

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Solution

The fourth proportional to 413.33, 618.68 and 230.17 is: 344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.33 : 618.68 = 230.17 : x
  2. Step 2: Convert to fraction form
    413.33/618.68 = 230.17/x
  3. Step 3: Cross multiply
    413.33x = 618.68 × 230.17
  4. Step 4: Simplify right side
    413.33x = 142,400.42
  5. Step 5: Solve for x
    x = 142,400.42/413.33
  6. Step 6: Final answer
    x = 344.52

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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.