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Finding the Fourth Proportional to 346.33, 518.68 and 343.09

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Solution

The fourth proportional to 346.33, 518.68 and 343.09 is: 513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.33 : 518.68 = 343.09 : x
  2. Step 2: Convert to fraction form
    346.33/518.68 = 343.09/x
  3. Step 3: Cross multiply
    346.33x = 518.68 × 343.09
  4. Step 4: Simplify right side
    346.33x = 177,953.92
  5. Step 5: Solve for x
    x = 177,953.92/346.33
  6. Step 6: Final answer
    x = 513.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.