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Finding the Fourth Proportional to 516.94, 713.39 and 284.08

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Solution

The fourth proportional to 516.94, 713.39 and 284.08 is: 392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 713.39 = 284.08 : x
  2. Step 2: Convert to fraction form
    516.94/713.39 = 284.08/x
  3. Step 3: Cross multiply
    516.94x = 713.39 × 284.08
  4. Step 4: Simplify right side
    516.94x = 202,659.83
  5. Step 5: Solve for x
    x = 202,659.83/516.94
  6. Step 6: Final answer
    x = 392.04

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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.