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Finding the Fourth Proportional to 516.36, 712.26 and 385.68

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Solution

The fourth proportional to 516.36, 712.26 and 385.68 is: 532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.36 : 712.26 = 385.68 : x
  2. Step 2: Convert to fraction form
    516.36/712.26 = 385.68/x
  3. Step 3: Cross multiply
    516.36x = 712.26 × 385.68
  4. Step 4: Simplify right side
    516.36x = 274,704.44
  5. Step 5: Solve for x
    x = 274,704.44/516.36
  6. Step 6: Final answer
    x = 532.00

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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.