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Finding the Fourth Proportional to 516.62, 774.20 and 285.63

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Solution

The fourth proportional to 516.62, 774.20 and 285.63 is: 428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.62 : 774.20 = 285.63 : x
  2. Step 2: Convert to fraction form
    516.62/774.20 = 285.63/x
  3. Step 3: Cross multiply
    516.62x = 774.20 × 285.63
  4. Step 4: Simplify right side
    516.62x = 221,132.56
  5. Step 5: Solve for x
    x = 221,132.56/516.62
  6. Step 6: Final answer
    x = 428.04

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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.