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Finding the Fourth Proportional to 414.71, 621.36 and 208.83

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Solution

The fourth proportional to 414.71, 621.36 and 208.83 is: 312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.71 : 621.36 = 208.83 : x
  2. Step 2: Convert to fraction form
    414.71/621.36 = 208.83/x
  3. Step 3: Cross multiply
    414.71x = 621.36 × 208.83
  4. Step 4: Simplify right side
    414.71x = 129,758.61
  5. Step 5: Solve for x
    x = 129,758.61/414.71
  6. Step 6: Final answer
    x = 312.89

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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.