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Finding the Fourth Proportional to 516.89, 775.64 and 192.48

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Solution

The fourth proportional to 516.89, 775.64 and 192.48 is: 288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 775.64 = 192.48 : x
  2. Step 2: Convert to fraction form
    516.89/775.64 = 192.48/x
  3. Step 3: Cross multiply
    516.89x = 775.64 × 192.48
  4. Step 4: Simplify right side
    516.89x = 149,295.19
  5. Step 5: Solve for x
    x = 149,295.19/516.89
  6. Step 6: Final answer
    x = 288.83

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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.