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Finding the Fourth Proportional to 496.56, 685.44 and 356.88

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Solution

The fourth proportional to 496.56, 685.44 and 356.88 is: 492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 685.44 = 356.88 : x
  2. Step 2: Convert to fraction form
    496.56/685.44 = 356.88/x
  3. Step 3: Cross multiply
    496.56x = 685.44 × 356.88
  4. Step 4: Simplify right side
    496.56x = 244,619.83
  5. Step 5: Solve for x
    x = 244,619.83/496.56
  6. Step 6: Final answer
    x = 492.63

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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.