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Finding the Fourth Proportional to 451.60, 676.08 and 408.37

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Solution

The fourth proportional to 451.60, 676.08 and 408.37 is: 611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.60 : 676.08 = 408.37 : x
  2. Step 2: Convert to fraction form
    451.60/676.08 = 408.37/x
  3. Step 3: Cross multiply
    451.60x = 676.08 × 408.37
  4. Step 4: Simplify right side
    451.60x = 276,088.25
  5. Step 5: Solve for x
    x = 276,088.25/451.60
  6. Step 6: Final answer
    x = 611.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.