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Finding the Fourth Proportional to 578.13, 862.70 and 516.62

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Solution

The fourth proportional to 578.13, 862.70 and 516.62 is: 770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.13 : 862.70 = 516.62 : x
  2. Step 2: Convert to fraction form
    578.13/862.70 = 516.62/x
  3. Step 3: Cross multiply
    578.13x = 862.70 × 516.62
  4. Step 4: Simplify right side
    578.13x = 445,688.07
  5. Step 5: Solve for x
    x = 445,688.07/578.13
  6. Step 6: Final answer
    x = 770.91

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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.