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Finding the Fourth Proportional to 516.84, 712.96 and 350.99

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Solution

The fourth proportional to 516.84, 712.96 and 350.99 is: 484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 712.96 = 350.99 : x
  2. Step 2: Convert to fraction form
    516.84/712.96 = 350.99/x
  3. Step 3: Cross multiply
    516.84x = 712.96 × 350.99
  4. Step 4: Simplify right side
    516.84x = 250,241.83
  5. Step 5: Solve for x
    x = 250,241.83/516.84
  6. Step 6: Final answer
    x = 484.18

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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.