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Finding the Fourth Proportional to 576.64, 796.26 and 494.56

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Solution

The fourth proportional to 576.64, 796.26 and 494.56 is: 682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.64 : 796.26 = 494.56 : x
  2. Step 2: Convert to fraction form
    576.64/796.26 = 494.56/x
  3. Step 3: Cross multiply
    576.64x = 796.26 × 494.56
  4. Step 4: Simplify right side
    576.64x = 393,798.35
  5. Step 5: Solve for x
    x = 393,798.35/576.64
  6. Step 6: Final answer
    x = 682.92

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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.