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Finding the Fourth Proportional to 413.14, 619.86 and 193.96

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Solution

The fourth proportional to 413.14, 619.86 and 193.96 is: 291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 619.86 = 193.96 : x
  2. Step 2: Convert to fraction form
    413.14/619.86 = 193.96/x
  3. Step 3: Cross multiply
    413.14x = 619.86 × 193.96
  4. Step 4: Simplify right side
    413.14x = 120,228.05
  5. Step 5: Solve for x
    x = 120,228.05/413.14
  6. Step 6: Final answer
    x = 291.01

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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.