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Finding the Fourth Proportional to 516.56, 712.14 and 412.01

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Solution

The fourth proportional to 516.56, 712.14 and 412.01 is: 568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.56 : 712.14 = 412.01 : x
  2. Step 2: Convert to fraction form
    516.56/712.14 = 412.01/x
  3. Step 3: Cross multiply
    516.56x = 712.14 × 412.01
  4. Step 4: Simplify right side
    516.56x = 293,408.80
  5. Step 5: Solve for x
    x = 293,408.80/516.56
  6. Step 6: Final answer
    x = 568.01

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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.