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Finding the Fourth Proportional to 343.50, 471.96 and 281.16

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Solution

The fourth proportional to 343.50, 471.96 and 281.16 is: 386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 471.96 = 281.16 : x
  2. Step 2: Convert to fraction form
    343.50/471.96 = 281.16/x
  3. Step 3: Cross multiply
    343.50x = 471.96 × 281.16
  4. Step 4: Simplify right side
    343.50x = 132,696.27
  5. Step 5: Solve for x
    x = 132,696.27/343.50
  6. Step 6: Final answer
    x = 386.31

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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.