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Finding the Fourth Proportional to 576.41, 796.10 and 380.79

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Solution

The fourth proportional to 576.41, 796.10 and 380.79 is: 525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.41 : 796.10 = 380.79 : x
  2. Step 2: Convert to fraction form
    576.41/796.10 = 380.79/x
  3. Step 3: Cross multiply
    576.41x = 796.10 × 380.79
  4. Step 4: Simplify right side
    576.41x = 303,145.02
  5. Step 5: Solve for x
    x = 303,145.02/576.41
  6. Step 6: Final answer
    x = 525.92

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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.