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Finding the Fourth Proportional to 343.46, 472.47 and 301.26

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Solution

The fourth proportional to 343.46, 472.47 and 301.26 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.46 : 472.47 = 301.26 : x
  2. Step 2: Convert to fraction form
    343.46/472.47 = 301.26/x
  3. Step 3: Cross multiply
    343.46x = 472.47 × 301.26
  4. Step 4: Simplify right side
    343.46x = 142,336.31
  5. Step 5: Solve for x
    x = 142,336.31/343.46
  6. Step 6: Final answer
    x = 414.42

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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.