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Finding the Fourth Proportional to 665.92, 919.79 and 470.31

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Solution

The fourth proportional to 665.92, 919.79 and 470.31 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.92 : 919.79 = 470.31 : x
  2. Step 2: Convert to fraction form
    665.92/919.79 = 470.31/x
  3. Step 3: Cross multiply
    665.92x = 919.79 × 470.31
  4. Step 4: Simplify right side
    665.92x = 432,586.43
  5. Step 5: Solve for x
    x = 432,586.43/665.92
  6. Step 6: Final answer
    x = 649.61

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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.