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Finding the Fourth Proportional to 413.47, 570.86 and 273.82

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Solution

The fourth proportional to 413.47, 570.86 and 273.82 is: 378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.47 : 570.86 = 273.82 : x
  2. Step 2: Convert to fraction form
    413.47/570.86 = 273.82/x
  3. Step 3: Cross multiply
    413.47x = 570.86 × 273.82
  4. Step 4: Simplify right side
    413.47x = 156,311.42
  5. Step 5: Solve for x
    x = 156,311.42/413.47
  6. Step 6: Final answer
    x = 378.05

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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.