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Finding the Fourth Proportional to 516.88, 770.84 and 459.04

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Solution

The fourth proportional to 516.88, 770.84 and 459.04 is: 684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 770.84 = 459.04 : x
  2. Step 2: Convert to fraction form
    516.88/770.84 = 459.04/x
  3. Step 3: Cross multiply
    516.88x = 770.84 × 459.04
  4. Step 4: Simplify right side
    516.88x = 353,846.39
  5. Step 5: Solve for x
    x = 353,846.39/516.88
  6. Step 6: Final answer
    x = 684.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.