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Finding the Fourth Proportional to 516.88, 713.34 and 295.84

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Solution

The fourth proportional to 516.88, 713.34 and 295.84 is: 408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 713.34 = 295.84 : x
  2. Step 2: Convert to fraction form
    516.88/713.34 = 295.84/x
  3. Step 3: Cross multiply
    516.88x = 713.34 × 295.84
  4. Step 4: Simplify right side
    516.88x = 211,034.51
  5. Step 5: Solve for x
    x = 211,034.51/516.88
  6. Step 6: Final answer
    x = 408.29

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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.