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Finding the Fourth Proportional to 516.14, 712.34 and 319.71

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Solution

The fourth proportional to 516.14, 712.34 and 319.71 is: 441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.14 : 712.34 = 319.71 : x
  2. Step 2: Convert to fraction form
    516.14/712.34 = 319.71/x
  3. Step 3: Cross multiply
    516.14x = 712.34 × 319.71
  4. Step 4: Simplify right side
    516.14x = 227,746.29
  5. Step 5: Solve for x
    x = 227,746.29/516.14
  6. Step 6: Final answer
    x = 441.25

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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.