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Finding the Fourth Proportional to 471.92, 650.85 and 322.29

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Solution

The fourth proportional to 471.92, 650.85 and 322.29 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.92 : 650.85 = 322.29 : x
  2. Step 2: Convert to fraction form
    471.92/650.85 = 322.29/x
  3. Step 3: Cross multiply
    471.92x = 650.85 × 322.29
  4. Step 4: Simplify right side
    471.92x = 209,760.00
  5. Step 5: Solve for x
    x = 209,760.00/471.92
  6. Step 6: Final answer
    x = 444.49

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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.