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Finding the Fourth Proportional to 516.86, 774.68 and 256.79

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Solution

The fourth proportional to 516.86, 774.68 and 256.79 is: 384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 774.68 = 256.79 : x
  2. Step 2: Convert to fraction form
    516.86/774.68 = 256.79/x
  3. Step 3: Cross multiply
    516.86x = 774.68 × 256.79
  4. Step 4: Simplify right side
    516.86x = 198,926.85
  5. Step 5: Solve for x
    x = 198,926.85/516.86
  6. Step 6: Final answer
    x = 384.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.