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Finding the Fourth Proportional to 308.01, 461.73 and 209.21

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Solution

The fourth proportional to 308.01, 461.73 and 209.21 is: 313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.01 : 461.73 = 209.21 : x
  2. Step 2: Convert to fraction form
    308.01/461.73 = 209.21/x
  3. Step 3: Cross multiply
    308.01x = 461.73 × 209.21
  4. Step 4: Simplify right side
    308.01x = 96,600.47
  5. Step 5: Solve for x
    x = 96,600.47/308.01
  6. Step 6: Final answer
    x = 313.63

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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.