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Finding the Fourth Proportional to 576.93, 796.26 and 380.43

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Solution

The fourth proportional to 576.93, 796.26 and 380.43 is: 525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.93 : 796.26 = 380.43 : x
  2. Step 2: Convert to fraction form
    576.93/796.26 = 380.43/x
  3. Step 3: Cross multiply
    576.93x = 796.26 × 380.43
  4. Step 4: Simplify right side
    576.93x = 302,921.19
  5. Step 5: Solve for x
    x = 302,921.19/576.93
  6. Step 6: Final answer
    x = 525.06

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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.