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Finding the Fourth Proportional to 576.96, 796.32 and 344.04

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Solution

The fourth proportional to 576.96, 796.32 and 344.04 is: 474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.96 : 796.32 = 344.04 : x
  2. Step 2: Convert to fraction form
    576.96/796.32 = 344.04/x
  3. Step 3: Cross multiply
    576.96x = 796.32 × 344.04
  4. Step 4: Simplify right side
    576.96x = 273,965.93
  5. Step 5: Solve for x
    x = 273,965.93/576.96
  6. Step 6: Final answer
    x = 474.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.