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Finding the Fourth Proportional to 516.77, 775.21 and 256.52

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Solution

The fourth proportional to 516.77, 775.21 and 256.52 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.77 : 775.21 = 256.52 : x
  2. Step 2: Convert to fraction form
    516.77/775.21 = 256.52/x
  3. Step 3: Cross multiply
    516.77x = 775.21 × 256.52
  4. Step 4: Simplify right side
    516.77x = 198,853.93
  5. Step 5: Solve for x
    x = 198,853.93/516.77
  6. Step 6: Final answer
    x = 384.80

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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.