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Finding the Fourth Proportional to 451.50, 676.35 and 406.68

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Solution

The fourth proportional to 451.50, 676.35 and 406.68 is: 609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.50 : 676.35 = 406.68 : x
  2. Step 2: Convert to fraction form
    451.50/676.35 = 406.68/x
  3. Step 3: Cross multiply
    451.50x = 676.35 × 406.68
  4. Step 4: Simplify right side
    451.50x = 275,058.02
  5. Step 5: Solve for x
    x = 275,058.02/451.50
  6. Step 6: Final answer
    x = 609.21

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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.