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Finding the Fourth Proportional to 446.78, 668.49 and 310.09

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Solution

The fourth proportional to 446.78, 668.49 and 310.09 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.78 : 668.49 = 310.09 : x
  2. Step 2: Convert to fraction form
    446.78/668.49 = 310.09/x
  3. Step 3: Cross multiply
    446.78x = 668.49 × 310.09
  4. Step 4: Simplify right side
    446.78x = 207,292.06
  5. Step 5: Solve for x
    x = 207,292.06/446.78
  6. Step 6: Final answer
    x = 463.97

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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.