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Finding the Fourth Proportional to 619.28, 927.10 and 413.34

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Solution

The fourth proportional to 619.28, 927.10 and 413.34 is: 618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.28 : 927.10 = 413.34 : x
  2. Step 2: Convert to fraction form
    619.28/927.10 = 413.34/x
  3. Step 3: Cross multiply
    619.28x = 927.10 × 413.34
  4. Step 4: Simplify right side
    619.28x = 383,205.45
  5. Step 5: Solve for x
    x = 383,205.45/619.28
  6. Step 6: Final answer
    x = 618.79

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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.