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Finding the Fourth Proportional to 516.42, 774.10 and 284.84

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Solution

The fourth proportional to 516.42, 774.10 and 284.84 is: 426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.42 : 774.10 = 284.84 : x
  2. Step 2: Convert to fraction form
    516.42/774.10 = 284.84/x
  3. Step 3: Cross multiply
    516.42x = 774.10 × 284.84
  4. Step 4: Simplify right side
    516.42x = 220,494.64
  5. Step 5: Solve for x
    x = 220,494.64/516.42
  6. Step 6: Final answer
    x = 426.97

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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.