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Finding the Fourth Proportional to 619.47, 928.28 and 413.33

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Solution

The fourth proportional to 619.47, 928.28 and 413.33 is: 619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.47 : 928.28 = 413.33 : x
  2. Step 2: Convert to fraction form
    619.47/928.28 = 413.33/x
  3. Step 3: Cross multiply
    619.47x = 928.28 × 413.33
  4. Step 4: Simplify right side
    619.47x = 383,679.26
  5. Step 5: Solve for x
    x = 383,679.26/619.47
  6. Step 6: Final answer
    x = 619.37

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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.