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Finding the Fourth Proportional to 413.63, 618.02 and 399.28

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Solution

The fourth proportional to 413.63, 618.02 and 399.28 is: 596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.63 : 618.02 = 399.28 : x
  2. Step 2: Convert to fraction form
    413.63/618.02 = 399.28/x
  3. Step 3: Cross multiply
    413.63x = 618.02 × 399.28
  4. Step 4: Simplify right side
    413.63x = 246,763.03
  5. Step 5: Solve for x
    x = 246,763.03/413.63
  6. Step 6: Final answer
    x = 596.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.