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Finding the Fourth Proportional to 471.80, 650.76 and 413.48

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Solution

The fourth proportional to 471.80, 650.76 and 413.48 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.80 : 650.76 = 413.48 : x
  2. Step 2: Convert to fraction form
    471.80/650.76 = 413.48/x
  3. Step 3: Cross multiply
    471.80x = 650.76 × 413.48
  4. Step 4: Simplify right side
    471.80x = 269,076.24
  5. Step 5: Solve for x
    x = 269,076.24/471.80
  6. Step 6: Final answer
    x = 570.32

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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.