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Finding the Fourth Proportional to 311.76, 467.10 and 279.36

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Solution

The fourth proportional to 311.76, 467.10 and 279.36 is: 418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 467.10 = 279.36 : x
  2. Step 2: Convert to fraction form
    311.76/467.10 = 279.36/x
  3. Step 3: Cross multiply
    311.76x = 467.10 × 279.36
  4. Step 4: Simplify right side
    311.76x = 130,489.06
  5. Step 5: Solve for x
    x = 130,489.06/311.76
  6. Step 6: Final answer
    x = 418.56

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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.