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Finding the Fourth Proportional to 516.72, 713.34 and 423.24

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Solution

The fourth proportional to 516.72, 713.34 and 423.24 is: 584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 713.34 = 423.24 : x
  2. Step 2: Convert to fraction form
    516.72/713.34 = 423.24/x
  3. Step 3: Cross multiply
    516.72x = 713.34 × 423.24
  4. Step 4: Simplify right side
    516.72x = 301,914.02
  5. Step 5: Solve for x
    x = 301,914.02/516.72
  6. Step 6: Final answer
    x = 584.29

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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.