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Finding the Fourth Proportional to 516.82, 774.99 and 300.46

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Solution

The fourth proportional to 516.82, 774.99 and 300.46 is: 450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.82 : 774.99 = 300.46 : x
  2. Step 2: Convert to fraction form
    516.82/774.99 = 300.46/x
  3. Step 3: Cross multiply
    516.82x = 774.99 × 300.46
  4. Step 4: Simplify right side
    516.82x = 232,853.50
  5. Step 5: Solve for x
    x = 232,853.50/516.82
  6. Step 6: Final answer
    x = 450.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.