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Finding the Fourth Proportional to 413.70, 619.34 and 305.97

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Solution

The fourth proportional to 413.70, 619.34 and 305.97 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.70 : 619.34 = 305.97 : x
  2. Step 2: Convert to fraction form
    413.70/619.34 = 305.97/x
  3. Step 3: Cross multiply
    413.70x = 619.34 × 305.97
  4. Step 4: Simplify right side
    413.70x = 189,497.93
  5. Step 5: Solve for x
    x = 189,497.93/413.70
  6. Step 6: Final answer
    x = 458.06

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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.