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Finding the Fourth Proportional to 451.94, 676.45 and 409.31

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Solution

The fourth proportional to 451.94, 676.45 and 409.31 is: 612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.94 : 676.45 = 409.31 : x
  2. Step 2: Convert to fraction form
    451.94/676.45 = 409.31/x
  3. Step 3: Cross multiply
    451.94x = 676.45 × 409.31
  4. Step 4: Simplify right side
    451.94x = 276,879.32
  5. Step 5: Solve for x
    x = 276,879.32/451.94
  6. Step 6: Final answer
    x = 612.65

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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.