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Finding the Fourth Proportional to 470.46, 704.79 and 324.29

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Solution

The fourth proportional to 470.46, 704.79 and 324.29 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.46 : 704.79 = 324.29 : x
  2. Step 2: Convert to fraction form
    470.46/704.79 = 324.29/x
  3. Step 3: Cross multiply
    470.46x = 704.79 × 324.29
  4. Step 4: Simplify right side
    470.46x = 228,558.72
  5. Step 5: Solve for x
    x = 228,558.72/470.46
  6. Step 6: Final answer
    x = 485.82

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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.