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Finding the Fourth Proportional to 516.36, 774.78 and 285.24

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Solution

The fourth proportional to 516.36, 774.78 and 285.24 is: 427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.36 : 774.78 = 285.24 : x
  2. Step 2: Convert to fraction form
    516.36/774.78 = 285.24/x
  3. Step 3: Cross multiply
    516.36x = 774.78 × 285.24
  4. Step 4: Simplify right side
    516.36x = 220,998.25
  5. Step 5: Solve for x
    x = 220,998.25/516.36
  6. Step 6: Final answer
    x = 427.99

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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.