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Finding the Fourth Proportional to 425.67, 637.17 and 271.77

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Solution

The fourth proportional to 425.67, 637.17 and 271.77 is: 406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.67 : 637.17 = 271.77 : x
  2. Step 2: Convert to fraction form
    425.67/637.17 = 271.77/x
  3. Step 3: Cross multiply
    425.67x = 637.17 × 271.77
  4. Step 4: Simplify right side
    425.67x = 173,163.69
  5. Step 5: Solve for x
    x = 173,163.69/425.67
  6. Step 6: Final answer
    x = 406.80

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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.