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Finding the Fourth Proportional to 451.08, 676.49 and 286.30

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Solution

The fourth proportional to 451.08, 676.49 and 286.30 is: 429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.08 : 676.49 = 286.30 : x
  2. Step 2: Convert to fraction form
    451.08/676.49 = 286.30/x
  3. Step 3: Cross multiply
    451.08x = 676.49 × 286.30
  4. Step 4: Simplify right side
    451.08x = 193,677.66
  5. Step 5: Solve for x
    x = 193,677.66/451.08
  6. Step 6: Final answer
    x = 429.37

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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.