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Finding the Fourth Proportional to 516.19, 774.29 and 223.46

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Solution

The fourth proportional to 516.19, 774.29 and 223.46 is: 335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.19 : 774.29 = 223.46 : x
  2. Step 2: Convert to fraction form
    516.19/774.29 = 223.46/x
  3. Step 3: Cross multiply
    516.19x = 774.29 × 223.46
  4. Step 4: Simplify right side
    516.19x = 173,019.11
  5. Step 5: Solve for x
    x = 173,019.11/516.19
  6. Step 6: Final answer
    x = 335.18

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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.