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Finding the Fourth Proportional to 413.15, 619.70 and 182.07

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Solution

The fourth proportional to 413.15, 619.70 and 182.07 is: 273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.15 : 619.70 = 182.07 : x
  2. Step 2: Convert to fraction form
    413.15/619.70 = 182.07/x
  3. Step 3: Cross multiply
    413.15x = 619.70 × 182.07
  4. Step 4: Simplify right side
    413.15x = 112,827.87
  5. Step 5: Solve for x
    x = 112,827.87/413.15
  6. Step 6: Final answer
    x = 273.10

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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.