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Finding the Fourth Proportional to 308.20, 462.22 and 259.76

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Solution

The fourth proportional to 308.20, 462.22 and 259.76 is: 389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.20 : 462.22 = 259.76 : x
  2. Step 2: Convert to fraction form
    308.20/462.22 = 259.76/x
  3. Step 3: Cross multiply
    308.20x = 462.22 × 259.76
  4. Step 4: Simplify right side
    308.20x = 120,066.27
  5. Step 5: Solve for x
    x = 120,066.27/308.20
  6. Step 6: Final answer
    x = 389.57

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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.