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Finding the Fourth Proportional to 470.24, 649.21 and 323.09

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Solution

The fourth proportional to 470.24, 649.21 and 323.09 is: 446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 649.21 = 323.09 : x
  2. Step 2: Convert to fraction form
    470.24/649.21 = 323.09/x
  3. Step 3: Cross multiply
    470.24x = 649.21 × 323.09
  4. Step 4: Simplify right side
    470.24x = 209,753.26
  5. Step 5: Solve for x
    x = 209,753.26/470.24
  6. Step 6: Final answer
    x = 446.06

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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.