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Finding the Fourth Proportional to 516.67, 775.05 and 256.93

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Solution

The fourth proportional to 516.67, 775.05 and 256.93 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.67 : 775.05 = 256.93 : x
  2. Step 2: Convert to fraction form
    516.67/775.05 = 256.93/x
  3. Step 3: Cross multiply
    516.67x = 775.05 × 256.93
  4. Step 4: Simplify right side
    516.67x = 199,133.60
  5. Step 5: Solve for x
    x = 199,133.60/516.67
  6. Step 6: Final answer
    x = 385.42

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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.