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Finding the Fourth Proportional to 470.68, 648.92 and 359.96

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Solution

The fourth proportional to 470.68, 648.92 and 359.96 is: 496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.68 : 648.92 = 359.96 : x
  2. Step 2: Convert to fraction form
    470.68/648.92 = 359.96/x
  3. Step 3: Cross multiply
    470.68x = 648.92 × 359.96
  4. Step 4: Simplify right side
    470.68x = 233,585.24
  5. Step 5: Solve for x
    x = 233,585.24/470.68
  6. Step 6: Final answer
    x = 496.27

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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.