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Finding the Fourth Proportional to 300.14, 413.91 and 230.07

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Solution

The fourth proportional to 300.14, 413.91 and 230.07 is: 317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.14 : 413.91 = 230.07 : x
  2. Step 2: Convert to fraction form
    300.14/413.91 = 230.07/x
  3. Step 3: Cross multiply
    300.14x = 413.91 × 230.07
  4. Step 4: Simplify right side
    300.14x = 95,227.58
  5. Step 5: Solve for x
    x = 95,227.58/300.14
  6. Step 6: Final answer
    x = 317.28

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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.