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Finding the Fourth Proportional to 516.16, 712.16 and 306.24

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Solution

The fourth proportional to 516.16, 712.16 and 306.24 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 712.16 = 306.24 : x
  2. Step 2: Convert to fraction form
    516.16/712.16 = 306.24/x
  3. Step 3: Cross multiply
    516.16x = 712.16 × 306.24
  4. Step 4: Simplify right side
    516.16x = 218,091.88
  5. Step 5: Solve for x
    x = 218,091.88/516.16
  6. Step 6: Final answer
    x = 422.53

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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.