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Finding the Fourth Proportional to 516.28, 712.24 and 319.72

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Solution

The fourth proportional to 516.28, 712.24 and 319.72 is: 441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.28 : 712.24 = 319.72 : x
  2. Step 2: Convert to fraction form
    516.28/712.24 = 319.72/x
  3. Step 3: Cross multiply
    516.28x = 712.24 × 319.72
  4. Step 4: Simplify right side
    516.28x = 227,717.37
  5. Step 5: Solve for x
    x = 227,717.37/516.28
  6. Step 6: Final answer
    x = 441.07

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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.