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Finding the Fourth Proportional to 470.32, 704.52 and 443.68

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Solution

The fourth proportional to 470.32, 704.52 and 443.68 is: 664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.32 : 704.52 = 443.68 : x
  2. Step 2: Convert to fraction form
    470.32/704.52 = 443.68/x
  3. Step 3: Cross multiply
    470.32x = 704.52 × 443.68
  4. Step 4: Simplify right side
    470.32x = 312,581.43
  5. Step 5: Solve for x
    x = 312,581.43/470.32
  6. Step 6: Final answer
    x = 664.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.