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Finding the Fourth Proportional to 413.25, 619.88 and 185.25

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Solution

The fourth proportional to 413.25, 619.88 and 185.25 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 619.88 = 185.25 : x
  2. Step 2: Convert to fraction form
    413.25/619.88 = 185.25/x
  3. Step 3: Cross multiply
    413.25x = 619.88 × 185.25
  4. Step 4: Simplify right side
    413.25x = 114,831.84
  5. Step 5: Solve for x
    x = 114,831.84/413.25
  6. Step 6: Final answer
    x = 277.88

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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.