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Finding the Fourth Proportional to 619.14, 928.17 and 413.60

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Solution

The fourth proportional to 619.14, 928.17 and 413.60 is: 620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.14 : 928.17 = 413.60 : x
  2. Step 2: Convert to fraction form
    619.14/928.17 = 413.60/x
  3. Step 3: Cross multiply
    619.14x = 928.17 × 413.60
  4. Step 4: Simplify right side
    619.14x = 383,893.43
  5. Step 5: Solve for x
    x = 383,893.43/619.14
  6. Step 6: Final answer
    x = 620.04

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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.