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Finding the Fourth Proportional to 308.34, 462.80 and 209.50

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Solution

The fourth proportional to 308.34, 462.80 and 209.50 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.34 : 462.80 = 209.50 : x
  2. Step 2: Convert to fraction form
    308.34/462.80 = 209.50/x
  3. Step 3: Cross multiply
    308.34x = 462.80 × 209.50
  4. Step 4: Simplify right side
    308.34x = 96,955.97
  5. Step 5: Solve for x
    x = 96,955.97/308.34
  6. Step 6: Final answer
    x = 314.44

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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.