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Finding the Fourth Proportional to 311.77, 433.68 and 305.83

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Solution

The fourth proportional to 311.77, 433.68 and 305.83 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.77 : 433.68 = 305.83 : x
  2. Step 2: Convert to fraction form
    311.77/433.68 = 305.83/x
  3. Step 3: Cross multiply
    311.77x = 433.68 × 305.83
  4. Step 4: Simplify right side
    311.77x = 132,632.35
  5. Step 5: Solve for x
    x = 132,632.35/311.77
  6. Step 6: Final answer
    x = 425.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.