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Finding the Fourth Proportional to 346.35, 518.41 and 323.88

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Solution

The fourth proportional to 346.35, 518.41 and 323.88 is: 484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.35 : 518.41 = 323.88 : x
  2. Step 2: Convert to fraction form
    346.35/518.41 = 323.88/x
  3. Step 3: Cross multiply
    346.35x = 518.41 × 323.88
  4. Step 4: Simplify right side
    346.35x = 167,902.63
  5. Step 5: Solve for x
    x = 167,902.63/346.35
  6. Step 6: Final answer
    x = 484.78

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