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Finding the Fourth Proportional to 308.83, 462.86 and 270.22

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Solution

The fourth proportional to 308.83, 462.86 and 270.22 is: 404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.83 : 462.86 = 270.22 : x
  2. Step 2: Convert to fraction form
    308.83/462.86 = 270.22/x
  3. Step 3: Cross multiply
    308.83x = 462.86 × 270.22
  4. Step 4: Simplify right side
    308.83x = 125,074.03
  5. Step 5: Solve for x
    x = 125,074.03/308.83
  6. Step 6: Final answer
    x = 404.99

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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.