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Finding the Fourth Proportional to 920.20, 1,380.46 and 303.93

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Solution

The fourth proportional to 920.20, 1,380.46 and 303.93 is: 455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.20 : 1,380.46 = 303.93 : x
  2. Step 2: Convert to fraction form
    920.20/1,380.46 = 303.93/x
  3. Step 3: Cross multiply
    920.20x = 1,380.46 × 303.93
  4. Step 4: Simplify right side
    920.20x = 419,563.21
  5. Step 5: Solve for x
    x = 419,563.21/920.20
  6. Step 6: Final answer
    x = 455.95

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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.