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Finding the Fourth Proportional to 415.10, 622.31 and 209.56

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Solution

The fourth proportional to 415.10, 622.31 and 209.56 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.10 : 622.31 = 209.56 : x
  2. Step 2: Convert to fraction form
    415.10/622.31 = 209.56/x
  3. Step 3: Cross multiply
    415.10x = 622.31 × 209.56
  4. Step 4: Simplify right side
    415.10x = 130,410.24
  5. Step 5: Solve for x
    x = 130,410.24/415.10
  6. Step 6: Final answer
    x = 314.17

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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.