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Finding the Fourth Proportional to 413.10, 619.56 and 298.62

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Solution

The fourth proportional to 413.10, 619.56 and 298.62 is: 447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 619.56 = 298.62 : x
  2. Step 2: Convert to fraction form
    413.10/619.56 = 298.62/x
  3. Step 3: Cross multiply
    413.10x = 619.56 × 298.62
  4. Step 4: Simplify right side
    413.10x = 185,013.01
  5. Step 5: Solve for x
    x = 185,013.01/413.10
  6. Step 6: Final answer
    x = 447.86

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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.