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Finding the Fourth Proportional to 414.77, 622.35 and 209.47

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Solution

The fourth proportional to 414.77, 622.35 and 209.47 is: 314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.77 : 622.35 = 209.47 : x
  2. Step 2: Convert to fraction form
    414.77/622.35 = 209.47/x
  3. Step 3: Cross multiply
    414.77x = 622.35 × 209.47
  4. Step 4: Simplify right side
    414.77x = 130,365.01
  5. Step 5: Solve for x
    x = 130,365.01/414.77
  6. Step 6: Final answer
    x = 314.31

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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.