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Finding the Fourth Proportional to 300.05, 413.06 and 263.15

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Solution

The fourth proportional to 300.05, 413.06 and 263.15 is: 362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.05 : 413.06 = 263.15 : x
  2. Step 2: Convert to fraction form
    300.05/413.06 = 263.15/x
  3. Step 3: Cross multiply
    300.05x = 413.06 × 263.15
  4. Step 4: Simplify right side
    300.05x = 108,693.36
  5. Step 5: Solve for x
    x = 108,693.36/300.05
  6. Step 6: Final answer
    x = 362.26

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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.