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Finding the Fourth Proportional to 518.67, 777.85 and 427.14

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Solution

The fourth proportional to 518.67, 777.85 and 427.14 is: 640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.67 : 777.85 = 427.14 : x
  2. Step 2: Convert to fraction form
    518.67/777.85 = 427.14/x
  3. Step 3: Cross multiply
    518.67x = 777.85 × 427.14
  4. Step 4: Simplify right side
    518.67x = 332,252.18
  5. Step 5: Solve for x
    x = 332,252.18/518.67
  6. Step 6: Final answer
    x = 640.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.