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Finding the Fourth Proportional to 413.02, 618.72 and 251.02

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Solution

The fourth proportional to 413.02, 618.72 and 251.02 is: 376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.02 : 618.72 = 251.02 : x
  2. Step 2: Convert to fraction form
    413.02/618.72 = 251.02/x
  3. Step 3: Cross multiply
    413.02x = 618.72 × 251.02
  4. Step 4: Simplify right side
    413.02x = 155,311.09
  5. Step 5: Solve for x
    x = 155,311.09/413.02
  6. Step 6: Final answer
    x = 376.04

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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.