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Finding the Fourth Proportional to 660.72, 911.34 and 464.31

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Solution

The fourth proportional to 660.72, 911.34 and 464.31 is: 640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.72 : 911.34 = 464.31 : x
  2. Step 2: Convert to fraction form
    660.72/911.34 = 464.31/x
  3. Step 3: Cross multiply
    660.72x = 911.34 × 464.31
  4. Step 4: Simplify right side
    660.72x = 423,144.28
  5. Step 5: Solve for x
    x = 423,144.28/660.72
  6. Step 6: Final answer
    x = 640.43

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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.