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Finding the Fourth Proportional to 346.10, 518.89 and 209.12

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Solution

The fourth proportional to 346.10, 518.89 and 209.12 is: 313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.10 : 518.89 = 209.12 : x
  2. Step 2: Convert to fraction form
    346.10/518.89 = 209.12/x
  3. Step 3: Cross multiply
    346.10x = 518.89 × 209.12
  4. Step 4: Simplify right side
    346.10x = 108,507.68
  5. Step 5: Solve for x
    x = 108,507.68/346.10
  6. Step 6: Final answer
    x = 313.52

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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.