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Finding the Fourth Proportional to 516.41, 711.87 and 376.68

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Solution

The fourth proportional to 516.41, 711.87 and 376.68 is: 519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.41 : 711.87 = 376.68 : x
  2. Step 2: Convert to fraction form
    516.41/711.87 = 376.68/x
  3. Step 3: Cross multiply
    516.41x = 711.87 × 376.68
  4. Step 4: Simplify right side
    516.41x = 268,147.19
  5. Step 5: Solve for x
    x = 268,147.19/516.41
  6. Step 6: Final answer
    x = 519.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.