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Finding the Fourth Proportional to 413.00, 619.45 and 104.83

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Solution

The fourth proportional to 413.00, 619.45 and 104.83 is: 157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.00 : 619.45 = 104.83 : x
  2. Step 2: Convert to fraction form
    413.00/619.45 = 104.83/x
  3. Step 3: Cross multiply
    413.00x = 619.45 × 104.83
  4. Step 4: Simplify right side
    413.00x = 64,935.39
  5. Step 5: Solve for x
    x = 64,935.39/413.00
  6. Step 6: Final answer
    x = 157.23

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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.