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Finding the Fourth Proportional to 920.52, 1,380.82 and 271.26

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Solution

The fourth proportional to 920.52, 1,380.82 and 271.26 is: 406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.52 : 1,380.82 = 271.26 : x
  2. Step 2: Convert to fraction form
    920.52/1,380.82 = 271.26/x
  3. Step 3: Cross multiply
    920.52x = 1,380.82 × 271.26
  4. Step 4: Simplify right side
    920.52x = 374,561.23
  5. Step 5: Solve for x
    x = 374,561.23/920.52
  6. Step 6: Final answer
    x = 406.90

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1.5x scale

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.