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Finding the Fourth Proportional to 316.94, 434.20 and 305.09

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Solution

The fourth proportional to 316.94, 434.20 and 305.09 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.94 : 434.20 = 305.09 : x
  2. Step 2: Convert to fraction form
    316.94/434.20 = 305.09/x
  3. Step 3: Cross multiply
    316.94x = 434.20 × 305.09
  4. Step 4: Simplify right side
    316.94x = 132,469.42
  5. Step 5: Solve for x
    x = 132,469.42/316.94
  6. Step 6: Final answer
    x = 417.97

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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.