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Finding the Fourth Proportional to 516.30, 712.26 and 376.35

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Solution

The fourth proportional to 516.30, 712.26 and 376.35 is: 519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 712.26 = 376.35 : x
  2. Step 2: Convert to fraction form
    516.30/712.26 = 376.35/x
  3. Step 3: Cross multiply
    516.30x = 712.26 × 376.35
  4. Step 4: Simplify right side
    516.30x = 268,059.05
  5. Step 5: Solve for x
    x = 268,059.05/516.30
  6. Step 6: Final answer
    x = 519.19

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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.