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Finding the Fourth Proportional to 427.88, 636.92 and 407.97

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Solution

The fourth proportional to 427.88, 636.92 and 407.97 is: 607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.88 : 636.92 = 407.97 : x
  2. Step 2: Convert to fraction form
    427.88/636.92 = 407.97/x
  3. Step 3: Cross multiply
    427.88x = 636.92 × 407.97
  4. Step 4: Simplify right side
    427.88x = 259,842.21
  5. Step 5: Solve for x
    x = 259,842.21/427.88
  6. Step 6: Final answer
    x = 607.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.