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Finding the Fourth Proportional to 516.31, 713.24 and 416.58

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Solution

The fourth proportional to 516.31, 713.24 and 416.58 is: 575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.31 : 713.24 = 416.58 : x
  2. Step 2: Convert to fraction form
    516.31/713.24 = 416.58/x
  3. Step 3: Cross multiply
    516.31x = 713.24 × 416.58
  4. Step 4: Simplify right side
    516.31x = 297,121.52
  5. Step 5: Solve for x
    x = 297,121.52/516.31
  6. Step 6: Final answer
    x = 575.47

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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.