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Finding the Fourth Proportional to 516.50, 778.30 and 427.20

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Solution

The fourth proportional to 516.50, 778.30 and 427.20 is: 643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.50 : 778.30 = 427.20 : x
  2. Step 2: Convert to fraction form
    516.50/778.30 = 427.20/x
  3. Step 3: Cross multiply
    516.50x = 778.30 × 427.20
  4. Step 4: Simplify right side
    516.50x = 332,488.69
  5. Step 5: Solve for x
    x = 332,488.69/516.50
  6. Step 6: Final answer
    x = 643.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.