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Finding the Fourth Proportional to 505.89, 696.92 and 481.19

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Solution

The fourth proportional to 505.89, 696.92 and 481.19 is: 662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.89 : 696.92 = 481.19 : x
  2. Step 2: Convert to fraction form
    505.89/696.92 = 481.19/x
  3. Step 3: Cross multiply
    505.89x = 696.92 × 481.19
  4. Step 4: Simplify right side
    505.89x = 335,345.04
  5. Step 5: Solve for x
    x = 335,345.04/505.89
  6. Step 6: Final answer
    x = 662.88

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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.