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Finding the Fourth Proportional to 451.64, 676.47 and 268.63

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Solution

The fourth proportional to 451.64, 676.47 and 268.63 is: 402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.64 : 676.47 = 268.63 : x
  2. Step 2: Convert to fraction form
    451.64/676.47 = 268.63/x
  3. Step 3: Cross multiply
    451.64x = 676.47 × 268.63
  4. Step 4: Simplify right side
    451.64x = 181,720.81
  5. Step 5: Solve for x
    x = 181,720.81/451.64
  6. Step 6: Final answer
    x = 402.36

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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.