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Finding the Fourth Proportional to 413.42, 570.35 and 273.61

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Solution

The fourth proportional to 413.42, 570.35 and 273.61 is: 377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 570.35 = 273.61 : x
  2. Step 2: Convert to fraction form
    413.42/570.35 = 273.61/x
  3. Step 3: Cross multiply
    413.42x = 570.35 × 273.61
  4. Step 4: Simplify right side
    413.42x = 156,052.72
  5. Step 5: Solve for x
    x = 156,052.72/413.42
  6. Step 6: Final answer
    x = 377.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.