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Finding the Fourth Proportional to 516.68, 771.60 and 488.60

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Solution

The fourth proportional to 516.68, 771.60 and 488.60 is: 729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.68 : 771.60 = 488.60 : x
  2. Step 2: Convert to fraction form
    516.68/771.60 = 488.60/x
  3. Step 3: Cross multiply
    516.68x = 771.60 × 488.60
  4. Step 4: Simplify right side
    516.68x = 377,003.76
  5. Step 5: Solve for x
    x = 377,003.76/516.68
  6. Step 6: Final answer
    x = 729.67

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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.