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Finding the Fourth Proportional to 516.23, 774.80 and 299.51

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Solution

The fourth proportional to 516.23, 774.80 and 299.51 is: 449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.23 : 774.80 = 299.51 : x
  2. Step 2: Convert to fraction form
    516.23/774.80 = 299.51/x
  3. Step 3: Cross multiply
    516.23x = 774.80 × 299.51
  4. Step 4: Simplify right side
    516.23x = 232,058.85
  5. Step 5: Solve for x
    x = 232,058.85/516.23
  6. Step 6: Final answer
    x = 449.53

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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.