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Finding the Fourth Proportional to 348.71, 484.37 and 343.12

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Solution

The fourth proportional to 348.71, 484.37 and 343.12 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.71 : 484.37 = 343.12 : x
  2. Step 2: Convert to fraction form
    348.71/484.37 = 343.12/x
  3. Step 3: Cross multiply
    348.71x = 484.37 × 343.12
  4. Step 4: Simplify right side
    348.71x = 166,197.86
  5. Step 5: Solve for x
    x = 166,197.86/348.71
  6. Step 6: Final answer
    x = 476.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.