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Finding the Fourth Proportional to 516.93, 775.59 and 192.33

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Solution

The fourth proportional to 516.93, 775.59 and 192.33 is: 288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.93 : 775.59 = 192.33 : x
  2. Step 2: Convert to fraction form
    516.93/775.59 = 192.33/x
  3. Step 3: Cross multiply
    516.93x = 775.59 × 192.33
  4. Step 4: Simplify right side
    516.93x = 149,169.22
  5. Step 5: Solve for x
    x = 149,169.22/516.93
  6. Step 6: Final answer
    x = 288.57

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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.