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Finding the Fourth Proportional to 523.44, 721.74 and 491.66

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Solution

The fourth proportional to 523.44, 721.74 and 491.66 is: 677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 721.74 = 491.66 : x
  2. Step 2: Convert to fraction form
    523.44/721.74 = 491.66/x
  3. Step 3: Cross multiply
    523.44x = 721.74 × 491.66
  4. Step 4: Simplify right side
    523.44x = 354,847.08
  5. Step 5: Solve for x
    x = 354,847.08/523.44
  6. Step 6: Final answer
    x = 677.91

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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.