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Finding the Fourth Proportional to 450.90, 676.62 and 414.72

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Solution

The fourth proportional to 450.90, 676.62 and 414.72 is: 622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.90 : 676.62 = 414.72 : x
  2. Step 2: Convert to fraction form
    450.90/676.62 = 414.72/x
  3. Step 3: Cross multiply
    450.90x = 676.62 × 414.72
  4. Step 4: Simplify right side
    450.90x = 280,607.85
  5. Step 5: Solve for x
    x = 280,607.85/450.90
  6. Step 6: Final answer
    x = 622.33

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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.