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Finding the Fourth Proportional to 451.82, 677.48 and 208.04

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Solution

The fourth proportional to 451.82, 677.48 and 208.04 is: 311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.82 : 677.48 = 208.04 : x
  2. Step 2: Convert to fraction form
    451.82/677.48 = 208.04/x
  3. Step 3: Cross multiply
    451.82x = 677.48 × 208.04
  4. Step 4: Simplify right side
    451.82x = 140,943.59
  5. Step 5: Solve for x
    x = 140,943.59/451.82
  6. Step 6: Final answer
    x = 311.94

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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.