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Finding the Fourth Proportional to 413.19, 618.37 and 310.23

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Solution

The fourth proportional to 413.19, 618.37 and 310.23 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.19 : 618.37 = 310.23 : x
  2. Step 2: Convert to fraction form
    413.19/618.37 = 310.23/x
  3. Step 3: Cross multiply
    413.19x = 618.37 × 310.23
  4. Step 4: Simplify right side
    413.19x = 191,836.15
  5. Step 5: Solve for x
    x = 191,836.15/413.19
  6. Step 6: Final answer
    x = 464.28

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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.