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Finding the Fourth Proportional to 300.13, 413.85 and 237.86

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Solution

The fourth proportional to 300.13, 413.85 and 237.86 is: 327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.13 : 413.85 = 237.86 : x
  2. Step 2: Convert to fraction form
    300.13/413.85 = 237.86/x
  3. Step 3: Cross multiply
    300.13x = 413.85 × 237.86
  4. Step 4: Simplify right side
    300.13x = 98,438.36
  5. Step 5: Solve for x
    x = 98,438.36/300.13
  6. Step 6: Final answer
    x = 327.99

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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.