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Finding the Fourth Proportional to 413.40, 619.71 and 182.14

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Solution

The fourth proportional to 413.40, 619.71 and 182.14 is: 273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.40 : 619.71 = 182.14 : x
  2. Step 2: Convert to fraction form
    413.40/619.71 = 182.14/x
  3. Step 3: Cross multiply
    413.40x = 619.71 × 182.14
  4. Step 4: Simplify right side
    413.40x = 112,873.98
  5. Step 5: Solve for x
    x = 112,873.98/413.40
  6. Step 6: Final answer
    x = 273.04

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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.