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Finding the Fourth Proportional to 414.84, 622.24 and 209.36

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Solution

The fourth proportional to 414.84, 622.24 and 209.36 is: 314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 622.24 = 209.36 : x
  2. Step 2: Convert to fraction form
    414.84/622.24 = 209.36/x
  3. Step 3: Cross multiply
    414.84x = 622.24 × 209.36
  4. Step 4: Simplify right side
    414.84x = 130,272.17
  5. Step 5: Solve for x
    x = 130,272.17/414.84
  6. Step 6: Final answer
    x = 314.03

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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.