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Finding the Fourth Proportional to 516.96, 775.42 and 192.42

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Solution

The fourth proportional to 516.96, 775.42 and 192.42 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 775.42 = 192.42 : x
  2. Step 2: Convert to fraction form
    516.96/775.42 = 192.42/x
  3. Step 3: Cross multiply
    516.96x = 775.42 × 192.42
  4. Step 4: Simplify right side
    516.96x = 149,206.32
  5. Step 5: Solve for x
    x = 149,206.32/516.96
  6. Step 6: Final answer
    x = 288.62

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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.