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Finding the Fourth Proportional to 704.41, 971.13 and 494.22

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Solution

The fourth proportional to 704.41, 971.13 and 494.22 is: 681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.41 : 971.13 = 494.22 : x
  2. Step 2: Convert to fraction form
    704.41/971.13 = 494.22/x
  3. Step 3: Cross multiply
    704.41x = 971.13 × 494.22
  4. Step 4: Simplify right side
    704.41x = 479,951.87
  5. Step 5: Solve for x
    x = 479,951.87/704.41
  6. Step 6: Final answer
    x = 681.35

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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.