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Finding the Fourth Proportional to 516.20, 713.20 and 511.08

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Solution

The fourth proportional to 516.20, 713.20 and 511.08 is: 706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 713.20 = 511.08 : x
  2. Step 2: Convert to fraction form
    516.20/713.20 = 511.08/x
  3. Step 3: Cross multiply
    516.20x = 713.20 × 511.08
  4. Step 4: Simplify right side
    516.20x = 364,502.26
  5. Step 5: Solve for x
    x = 364,502.26/516.20
  6. Step 6: Final answer
    x = 706.13

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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.