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Finding the Fourth Proportional to 516.25, 770.36 and 461.62

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Solution

The fourth proportional to 516.25, 770.36 and 461.62 is: 688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 770.36 = 461.62 : x
  2. Step 2: Convert to fraction form
    516.25/770.36 = 461.62/x
  3. Step 3: Cross multiply
    516.25x = 770.36 × 461.62
  4. Step 4: Simplify right side
    516.25x = 355,613.58
  5. Step 5: Solve for x
    x = 355,613.58/516.25
  6. Step 6: Final answer
    x = 688.84

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