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Finding the Fourth Proportional to 427.78, 642.21 and 408.16

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Solution

The fourth proportional to 427.78, 642.21 and 408.16 is: 612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 642.21 = 408.16 : x
  2. Step 2: Convert to fraction form
    427.78/642.21 = 408.16/x
  3. Step 3: Cross multiply
    427.78x = 642.21 × 408.16
  4. Step 4: Simplify right side
    427.78x = 262,124.43
  5. Step 5: Solve for x
    x = 262,124.43/427.78
  6. Step 6: Final answer
    x = 612.76

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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.