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Finding the Fourth Proportional to 704.10, 971.17 and 441.94

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Solution

The fourth proportional to 704.10, 971.17 and 441.94 is: 609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.10 : 971.17 = 441.94 : x
  2. Step 2: Convert to fraction form
    704.10/971.17 = 441.94/x
  3. Step 3: Cross multiply
    704.10x = 971.17 × 441.94
  4. Step 4: Simplify right side
    704.10x = 429,198.87
  5. Step 5: Solve for x
    x = 429,198.87/704.10
  6. Step 6: Final answer
    x = 609.57

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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.