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Finding the Fourth Proportional to 451.94, 677.62 and 208.54

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Solution

The fourth proportional to 451.94, 677.62 and 208.54 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.94 : 677.62 = 208.54 : x
  2. Step 2: Convert to fraction form
    451.94/677.62 = 208.54/x
  3. Step 3: Cross multiply
    451.94x = 677.62 × 208.54
  4. Step 4: Simplify right side
    451.94x = 141,310.87
  5. Step 5: Solve for x
    x = 141,310.87/451.94
  6. Step 6: Final answer
    x = 312.68

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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.