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Finding the Fourth Proportional to 300.02, 413.94 and 230.06

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Solution

The fourth proportional to 300.02, 413.94 and 230.06 is: 317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.02 : 413.94 = 230.06 : x
  2. Step 2: Convert to fraction form
    300.02/413.94 = 230.06/x
  3. Step 3: Cross multiply
    300.02x = 413.94 × 230.06
  4. Step 4: Simplify right side
    300.02x = 95,231.04
  5. Step 5: Solve for x
    x = 95,231.04/300.02
  6. Step 6: Final answer
    x = 317.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.