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Finding the Fourth Proportional to 516.84, 713.38 and 333.16

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Solution

The fourth proportional to 516.84, 713.38 and 333.16 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 713.38 = 333.16 : x
  2. Step 2: Convert to fraction form
    516.84/713.38 = 333.16/x
  3. Step 3: Cross multiply
    516.84x = 713.38 × 333.16
  4. Step 4: Simplify right side
    516.84x = 237,669.68
  5. Step 5: Solve for x
    x = 237,669.68/516.84
  6. Step 6: Final answer
    x = 459.85

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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.