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Finding the Fourth Proportional to 471.29, 650.23 and 331.29

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Solution

The fourth proportional to 471.29, 650.23 and 331.29 is: 457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.29 : 650.23 = 331.29 : x
  2. Step 2: Convert to fraction form
    471.29/650.23 = 331.29/x
  3. Step 3: Cross multiply
    471.29x = 650.23 × 331.29
  4. Step 4: Simplify right side
    471.29x = 215,413.87
  5. Step 5: Solve for x
    x = 215,413.87/471.29
  6. Step 6: Final answer
    x = 457.08

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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.