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Finding the Fourth Proportional to 516.75, 778.67 and 427.45

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Solution

The fourth proportional to 516.75, 778.67 and 427.45 is: 644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 778.67 = 427.45 : x
  2. Step 2: Convert to fraction form
    516.75/778.67 = 427.45/x
  3. Step 3: Cross multiply
    516.75x = 778.67 × 427.45
  4. Step 4: Simplify right side
    516.75x = 332,842.49
  5. Step 5: Solve for x
    x = 332,842.49/516.75
  6. Step 6: Final answer
    x = 644.11

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