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Finding the Fourth Proportional to 451.91, 678.08 and 208.41

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Solution

The fourth proportional to 451.91, 678.08 and 208.41 is: 312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.91 : 678.08 = 208.41 : x
  2. Step 2: Convert to fraction form
    451.91/678.08 = 208.41/x
  3. Step 3: Cross multiply
    451.91x = 678.08 × 208.41
  4. Step 4: Simplify right side
    451.91x = 141,318.65
  5. Step 5: Solve for x
    x = 141,318.65/451.91
  6. Step 6: Final answer
    x = 312.71

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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.