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Finding the Fourth Proportional to 704.27, 971.60 and 471.47

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Solution

The fourth proportional to 704.27, 971.60 and 471.47 is: 650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.27 : 971.60 = 471.47 : x
  2. Step 2: Convert to fraction form
    704.27/971.60 = 471.47/x
  3. Step 3: Cross multiply
    704.27x = 971.60 × 471.47
  4. Step 4: Simplify right side
    704.27x = 458,077.89
  5. Step 5: Solve for x
    x = 458,077.89/704.27
  6. Step 6: Final answer
    x = 650.43

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Why These Related Problems?

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