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Finding the Fourth Proportional to 920.91, 1,380.54 and 343.38

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Solution

The fourth proportional to 920.91, 1,380.54 and 343.38 is: 514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.91 : 1,380.54 = 343.38 : x
  2. Step 2: Convert to fraction form
    920.91/1,380.54 = 343.38/x
  3. Step 3: Cross multiply
    920.91x = 1,380.54 × 343.38
  4. Step 4: Simplify right side
    920.91x = 474,049.83
  5. Step 5: Solve for x
    x = 474,049.83/920.91
  6. Step 6: Final answer
    x = 514.76

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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.