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Finding the Fourth Proportional to 920.14, 1,380.41 and 303.93

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Solution

The fourth proportional to 920.14, 1,380.41 and 303.93 is: 455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.14 : 1,380.41 = 303.93 : x
  2. Step 2: Convert to fraction form
    920.14/1,380.41 = 303.93/x
  3. Step 3: Cross multiply
    920.14x = 1,380.41 × 303.93
  4. Step 4: Simplify right side
    920.14x = 419,548.01
  5. Step 5: Solve for x
    x = 419,548.01/920.14
  6. Step 6: Final answer
    x = 455.96

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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.