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Finding the Fourth Proportional to 516.14, 712.28 and 295.09

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Solution

The fourth proportional to 516.14, 712.28 and 295.09 is: 407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.14 : 712.28 = 295.09 : x
  2. Step 2: Convert to fraction form
    516.14/712.28 = 295.09/x
  3. Step 3: Cross multiply
    516.14x = 712.28 × 295.09
  4. Step 4: Simplify right side
    516.14x = 210,183.45
  5. Step 5: Solve for x
    x = 210,183.45/516.14
  6. Step 6: Final answer
    x = 407.23

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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.