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Finding the Fourth Proportional to 576.68, 796.02 and 380.12

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Solution

The fourth proportional to 576.68, 796.02 and 380.12 is: 524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.68 : 796.02 = 380.12 : x
  2. Step 2: Convert to fraction form
    576.68/796.02 = 380.12/x
  3. Step 3: Cross multiply
    576.68x = 796.02 × 380.12
  4. Step 4: Simplify right side
    576.68x = 302,583.12
  5. Step 5: Solve for x
    x = 302,583.12/576.68
  6. Step 6: Final answer
    x = 524.70

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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.