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Finding the Fourth Proportional to 450.97, 676.35 and 177.09

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Solution

The fourth proportional to 450.97, 676.35 and 177.09 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.97 : 676.35 = 177.09 : x
  2. Step 2: Convert to fraction form
    450.97/676.35 = 177.09/x
  3. Step 3: Cross multiply
    450.97x = 676.35 × 177.09
  4. Step 4: Simplify right side
    450.97x = 119,772.29
  5. Step 5: Solve for x
    x = 119,772.29/450.97
  6. Step 6: Final answer
    x = 265.59

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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.