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Finding the Fourth Proportional to 343.26, 472.71 and 281.31

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Solution

The fourth proportional to 343.26, 472.71 and 281.31 is: 387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.26 : 472.71 = 281.31 : x
  2. Step 2: Convert to fraction form
    343.26/472.71 = 281.31/x
  3. Step 3: Cross multiply
    343.26x = 472.71 × 281.31
  4. Step 4: Simplify right side
    343.26x = 132,978.05
  5. Step 5: Solve for x
    x = 132,978.05/343.26
  6. Step 6: Final answer
    x = 387.40

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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.