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Finding the Fourth Proportional to 413.28, 570.48 and 273.60

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Solution

The fourth proportional to 413.28, 570.48 and 273.60 is: 377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 570.48 = 273.60 : x
  2. Step 2: Convert to fraction form
    413.28/570.48 = 273.60/x
  3. Step 3: Cross multiply
    413.28x = 570.48 × 273.60
  4. Step 4: Simplify right side
    413.28x = 156,083.33
  5. Step 5: Solve for x
    x = 156,083.33/413.28
  6. Step 6: Final answer
    x = 377.67

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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.