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Finding the Fourth Proportional to 470.73, 648.92 and 330.41

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Solution

The fourth proportional to 470.73, 648.92 and 330.41 is: 455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 648.92 = 330.41 : x
  2. Step 2: Convert to fraction form
    470.73/648.92 = 330.41/x
  3. Step 3: Cross multiply
    470.73x = 648.92 × 330.41
  4. Step 4: Simplify right side
    470.73x = 214,406.41
  5. Step 5: Solve for x
    x = 214,406.41/470.73
  6. Step 6: Final answer
    x = 455.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.