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Finding the Fourth Proportional to 311.28, 469.86 and 300

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Solution

The fourth proportional to 311.28, 469.86 and 300 is: 452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 469.86 = 300 : x
  2. Step 2: Convert to fraction form
    311.28/469.86 = 300/x
  3. Step 3: Cross multiply
    311.28x = 469.86 × 300
  4. Step 4: Simplify right side
    311.28x = 140,958
  5. Step 5: Solve for x
    x = 140,958/311.28
  6. Step 6: Final answer
    x = 452.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.