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Finding the Fourth Proportional to 920.41, 1,380.75 and 271.06

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Solution

The fourth proportional to 920.41, 1,380.75 and 271.06 is: 406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.41 : 1,380.75 = 271.06 : x
  2. Step 2: Convert to fraction form
    920.41/1,380.75 = 271.06/x
  3. Step 3: Cross multiply
    920.41x = 1,380.75 × 271.06
  4. Step 4: Simplify right side
    920.41x = 374,266.10
  5. Step 5: Solve for x
    x = 374,266.10/920.41
  6. Step 6: Final answer
    x = 406.63

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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.