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Finding the Fourth Proportional to 349.94, 522 and 343.46

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Solution

The fourth proportional to 349.94, 522 and 343.46 is: 512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.94 : 522 = 343.46 : x
  2. Step 2: Convert to fraction form
    349.94/522 = 343.46/x
  3. Step 3: Cross multiply
    349.94x = 522 × 343.46
  4. Step 4: Simplify right side
    349.94x = 179,287.43
  5. Step 5: Solve for x
    x = 179,287.43/349.94
  6. Step 6: Final answer
    x = 512.33

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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.