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Finding the Fourth Proportional to 414.71, 621.22 and 208.99

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Solution

The fourth proportional to 414.71, 621.22 and 208.99 is: 313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.71 : 621.22 = 208.99 : x
  2. Step 2: Convert to fraction form
    414.71/621.22 = 208.99/x
  3. Step 3: Cross multiply
    414.71x = 621.22 × 208.99
  4. Step 4: Simplify right side
    414.71x = 129,826.69
  5. Step 5: Solve for x
    x = 129,826.69/414.71
  6. Step 6: Final answer
    x = 313.06

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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.