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Finding the Fourth Proportional to 425.46, 637.41 and 271.06

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Solution

The fourth proportional to 425.46, 637.41 and 271.06 is: 406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.46 : 637.41 = 271.06 : x
  2. Step 2: Convert to fraction form
    425.46/637.41 = 271.06/x
  3. Step 3: Cross multiply
    425.46x = 637.41 × 271.06
  4. Step 4: Simplify right side
    425.46x = 172,777.95
  5. Step 5: Solve for x
    x = 172,777.95/425.46
  6. Step 6: Final answer
    x = 406.09

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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.