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Finding the Fourth Proportional to 471.69, 650.79 and 331.83

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Solution

The fourth proportional to 471.69, 650.79 and 331.83 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.69 : 650.79 = 331.83 : x
  2. Step 2: Convert to fraction form
    471.69/650.79 = 331.83/x
  3. Step 3: Cross multiply
    471.69x = 650.79 × 331.83
  4. Step 4: Simplify right side
    471.69x = 215,951.65
  5. Step 5: Solve for x
    x = 215,951.65/471.69
  6. Step 6: Final answer
    x = 457.83

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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.