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Finding the Fourth Proportional to 516.96, 713.36 and 284.08

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Solution

The fourth proportional to 516.96, 713.36 and 284.08 is: 392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 713.36 = 284.08 : x
  2. Step 2: Convert to fraction form
    516.96/713.36 = 284.08/x
  3. Step 3: Cross multiply
    516.96x = 713.36 × 284.08
  4. Step 4: Simplify right side
    516.96x = 202,651.31
  5. Step 5: Solve for x
    x = 202,651.31/516.96
  6. Step 6: Final answer
    x = 392.01

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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.