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Finding the Fourth Proportional to 576.57, 795.73 and 343.69

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Solution

The fourth proportional to 576.57, 795.73 and 343.69 is: 474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.57 : 795.73 = 343.69 : x
  2. Step 2: Convert to fraction form
    576.57/795.73 = 343.69/x
  3. Step 3: Cross multiply
    576.57x = 795.73 × 343.69
  4. Step 4: Simplify right side
    576.57x = 273,484.44
  5. Step 5: Solve for x
    x = 273,484.44/576.57
  6. Step 6: Final answer
    x = 474.33

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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.