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Finding the Fourth Proportional to 619.02, 928.97 and 413.97

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Solution

The fourth proportional to 619.02, 928.97 and 413.97 is: 621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.02 : 928.97 = 413.97 : x
  2. Step 2: Convert to fraction form
    619.02/928.97 = 413.97/x
  3. Step 3: Cross multiply
    619.02x = 928.97 × 413.97
  4. Step 4: Simplify right side
    619.02x = 384,563.64
  5. Step 5: Solve for x
    x = 384,563.64/619.02
  6. Step 6: Final answer
    x = 621.25

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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.