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Finding the Fourth Proportional to 311.20, 465.46 and 278.96

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Solution

The fourth proportional to 311.20, 465.46 and 278.96 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.20 : 465.46 = 278.96 : x
  2. Step 2: Convert to fraction form
    311.20/465.46 = 278.96/x
  3. Step 3: Cross multiply
    311.20x = 465.46 × 278.96
  4. Step 4: Simplify right side
    311.20x = 129,844.72
  5. Step 5: Solve for x
    x = 129,844.72/311.20
  6. Step 6: Final answer
    x = 417.24

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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.