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Finding the Fourth Proportional to 516.29, 710.96 and 427.12

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Solution

The fourth proportional to 516.29, 710.96 and 427.12 is: 588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 710.96 = 427.12 : x
  2. Step 2: Convert to fraction form
    516.29/710.96 = 427.12/x
  3. Step 3: Cross multiply
    516.29x = 710.96 × 427.12
  4. Step 4: Simplify right side
    516.29x = 303,659.54
  5. Step 5: Solve for x
    x = 303,659.54/516.29
  6. Step 6: Final answer
    x = 588.16

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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.