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Finding the Fourth Proportional to 660.63, 911.74 and 494.56

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Solution

The fourth proportional to 660.63, 911.74 and 494.56 is: 682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.63 : 911.74 = 494.56 : x
  2. Step 2: Convert to fraction form
    660.63/911.74 = 494.56/x
  3. Step 3: Cross multiply
    660.63x = 911.74 × 494.56
  4. Step 4: Simplify right side
    660.63x = 450,903.10
  5. Step 5: Solve for x
    x = 450,903.10/660.63
  6. Step 6: Final answer
    x = 682.54

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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.