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Finding the Fourth Proportional to 516.89, 775.44 and 256.88

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Solution

The fourth proportional to 516.89, 775.44 and 256.88 is: 385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 775.44 = 256.88 : x
  2. Step 2: Convert to fraction form
    516.89/775.44 = 256.88/x
  3. Step 3: Cross multiply
    516.89x = 775.44 × 256.88
  4. Step 4: Simplify right side
    516.89x = 199,196.97
  5. Step 5: Solve for x
    x = 199,196.97/516.89
  6. Step 6: Final answer
    x = 385.37

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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.