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Finding the Fourth Proportional to 671.66, 927.26 and 494.47

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Solution

The fourth proportional to 671.66, 927.26 and 494.47 is: 682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.66 : 927.26 = 494.47 : x
  2. Step 2: Convert to fraction form
    671.66/927.26 = 494.47/x
  3. Step 3: Cross multiply
    671.66x = 927.26 × 494.47
  4. Step 4: Simplify right side
    671.66x = 458,502.25
  5. Step 5: Solve for x
    x = 458,502.25/671.66
  6. Step 6: Final answer
    x = 682.64

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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.