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Finding the Fourth Proportional to 316.62, 434.36 and 308.09

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Solution

The fourth proportional to 316.62, 434.36 and 308.09 is: 422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.62 : 434.36 = 308.09 : x
  2. Step 2: Convert to fraction form
    316.62/434.36 = 308.09/x
  3. Step 3: Cross multiply
    316.62x = 434.36 × 308.09
  4. Step 4: Simplify right side
    316.62x = 133,818.26
  5. Step 5: Solve for x
    x = 133,818.26/316.62
  6. Step 6: Final answer
    x = 422.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.