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Finding the Fourth Proportional to 413.46, 618.99 and 311.16

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Solution

The fourth proportional to 413.46, 618.99 and 311.16 is: 465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.46 : 618.99 = 311.16 : x
  2. Step 2: Convert to fraction form
    413.46/618.99 = 311.16/x
  3. Step 3: Cross multiply
    413.46x = 618.99 × 311.16
  4. Step 4: Simplify right side
    413.46x = 192,604.93
  5. Step 5: Solve for x
    x = 192,604.93/413.46
  6. Step 6: Final answer
    x = 465.84

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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.