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Finding the Fourth Proportional to 704.21, 971.27 and 538.97

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Solution

The fourth proportional to 704.21, 971.27 and 538.97 is: 743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.21 : 971.27 = 538.97 : x
  2. Step 2: Convert to fraction form
    704.21/971.27 = 538.97/x
  3. Step 3: Cross multiply
    704.21x = 971.27 × 538.97
  4. Step 4: Simplify right side
    704.21x = 523,477.84
  5. Step 5: Solve for x
    x = 523,477.84/704.21
  6. Step 6: Final answer
    x = 743.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.