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Finding the Fourth Proportional to 516.20, 712.26 and 317.16

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Solution

The fourth proportional to 516.20, 712.26 and 317.16 is: 437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 712.26 = 317.16 : x
  2. Step 2: Convert to fraction form
    516.20/712.26 = 317.16/x
  3. Step 3: Cross multiply
    516.20x = 712.26 × 317.16
  4. Step 4: Simplify right side
    516.20x = 225,900.38
  5. Step 5: Solve for x
    x = 225,900.38/516.20
  6. Step 6: Final answer
    x = 437.62

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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.