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Finding the Fourth Proportional to 450.29, 676.34 and 296.48

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Solution

The fourth proportional to 450.29, 676.34 and 296.48 is: 445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.29 : 676.34 = 296.48 : x
  2. Step 2: Convert to fraction form
    450.29/676.34 = 296.48/x
  3. Step 3: Cross multiply
    450.29x = 676.34 × 296.48
  4. Step 4: Simplify right side
    450.29x = 200,521.28
  5. Step 5: Solve for x
    x = 200,521.28/450.29
  6. Step 6: Final answer
    x = 445.32

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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.