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Finding the Fourth Proportional to 516.96, 712.94 and 330.14

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Solution

The fourth proportional to 516.96, 712.94 and 330.14 is: 455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 712.94 = 330.14 : x
  2. Step 2: Convert to fraction form
    516.96/712.94 = 330.14/x
  3. Step 3: Cross multiply
    516.96x = 712.94 × 330.14
  4. Step 4: Simplify right side
    516.96x = 235,370.01
  5. Step 5: Solve for x
    x = 235,370.01/516.96
  6. Step 6: Final answer
    x = 455.30

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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.