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Finding the Fourth Proportional to 470.44, 649.40 and 337.96

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Solution

The fourth proportional to 470.44, 649.40 and 337.96 is: 466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.44 : 649.40 = 337.96 : x
  2. Step 2: Convert to fraction form
    470.44/649.40 = 337.96/x
  3. Step 3: Cross multiply
    470.44x = 649.40 × 337.96
  4. Step 4: Simplify right side
    470.44x = 219,471.22
  5. Step 5: Solve for x
    x = 219,471.22/470.44
  6. Step 6: Final answer
    x = 466.52

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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.