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Finding the Fourth Proportional to 516.27, 712.49 and 295.14

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Solution

The fourth proportional to 516.27, 712.49 and 295.14 is: 407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.27 : 712.49 = 295.14 : x
  2. Step 2: Convert to fraction form
    516.27/712.49 = 295.14/x
  3. Step 3: Cross multiply
    516.27x = 712.49 × 295.14
  4. Step 4: Simplify right side
    516.27x = 210,282.82
  5. Step 5: Solve for x
    x = 210,282.82/516.27
  6. Step 6: Final answer
    x = 407.31

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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.