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Finding the Fourth Proportional to 343.27, 474.15 and 301.96

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Solution

The fourth proportional to 343.27, 474.15 and 301.96 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.27 : 474.15 = 301.96 : x
  2. Step 2: Convert to fraction form
    343.27/474.15 = 301.96/x
  3. Step 3: Cross multiply
    343.27x = 474.15 × 301.96
  4. Step 4: Simplify right side
    343.27x = 143,174.33
  5. Step 5: Solve for x
    x = 143,174.33/343.27
  6. Step 6: Final answer
    x = 417.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.