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Finding the Fourth Proportional to 471.92, 650.68 and 365.68

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Solution

The fourth proportional to 471.92, 650.68 and 365.68 is: 504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.92 : 650.68 = 365.68 : x
  2. Step 2: Convert to fraction form
    471.92/650.68 = 365.68/x
  3. Step 3: Cross multiply
    471.92x = 650.68 × 365.68
  4. Step 4: Simplify right side
    471.92x = 237,940.66
  5. Step 5: Solve for x
    x = 237,940.66/471.92
  6. Step 6: Final answer
    x = 504.20

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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.