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Finding the Fourth Proportional to 414.96, 621.59 and 209.24

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Solution

The fourth proportional to 414.96, 621.59 and 209.24 is: 313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 621.59 = 209.24 : x
  2. Step 2: Convert to fraction form
    414.96/621.59 = 209.24/x
  3. Step 3: Cross multiply
    414.96x = 621.59 × 209.24
  4. Step 4: Simplify right side
    414.96x = 130,061.49
  5. Step 5: Solve for x
    x = 130,061.49/414.96
  6. Step 6: Final answer
    x = 313.43

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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.