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Finding the Fourth Proportional to 451.28, 677.46 and 268.76

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Solution

The fourth proportional to 451.28, 677.46 and 268.76 is: 403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.28 : 677.46 = 268.76 : x
  2. Step 2: Convert to fraction form
    451.28/677.46 = 268.76/x
  3. Step 3: Cross multiply
    451.28x = 677.46 × 268.76
  4. Step 4: Simplify right side
    451.28x = 182,074.15
  5. Step 5: Solve for x
    x = 182,074.15/451.28
  6. Step 6: Final answer
    x = 403.46

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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.