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Finding the Fourth Proportional to 451.27, 676.15 and 402.06

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Solution

The fourth proportional to 451.27, 676.15 and 402.06 is: 602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.27 : 676.15 = 402.06 : x
  2. Step 2: Convert to fraction form
    451.27/676.15 = 402.06/x
  3. Step 3: Cross multiply
    451.27x = 676.15 × 402.06
  4. Step 4: Simplify right side
    451.27x = 271,854.40
  5. Step 5: Solve for x
    x = 271,854.40/451.27
  6. Step 6: Final answer
    x = 602.42

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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.