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Finding the Fourth Proportional to 576.29, 794.72 and 514.73

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Solution

The fourth proportional to 576.29, 794.72 and 514.73 is: 709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.29 : 794.72 = 514.73 : x
  2. Step 2: Convert to fraction form
    576.29/794.72 = 514.73/x
  3. Step 3: Cross multiply
    576.29x = 794.72 × 514.73
  4. Step 4: Simplify right side
    576.29x = 409,063.54
  5. Step 5: Solve for x
    x = 409,063.54/576.29
  6. Step 6: Final answer
    x = 709.83

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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.