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Finding the Fourth Proportional to 343.67, 512.44 and 339.41

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Solution

The fourth proportional to 343.67, 512.44 and 339.41 is: 506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.67 : 512.44 = 339.41 : x
  2. Step 2: Convert to fraction form
    343.67/512.44 = 339.41/x
  3. Step 3: Cross multiply
    343.67x = 512.44 × 339.41
  4. Step 4: Simplify right side
    343.67x = 173,927.69
  5. Step 5: Solve for x
    x = 173,927.69/343.67
  6. Step 6: Final answer
    x = 506.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.