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Finding the Fourth Proportional to 414.60, 621.56 and 209.06

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Solution

The fourth proportional to 414.60, 621.56 and 209.06 is: 313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.60 : 621.56 = 209.06 : x
  2. Step 2: Convert to fraction form
    414.60/621.56 = 209.06/x
  3. Step 3: Cross multiply
    414.60x = 621.56 × 209.06
  4. Step 4: Simplify right side
    414.60x = 129,942.29
  5. Step 5: Solve for x
    x = 129,942.29/414.60
  6. Step 6: Final answer
    x = 313.42

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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.