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Finding the Fourth Proportional to 671.43, 925.34 and 496.83

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Solution

The fourth proportional to 671.43, 925.34 and 496.83 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.43 : 925.34 = 496.83 : x
  2. Step 2: Convert to fraction form
    671.43/925.34 = 496.83/x
  3. Step 3: Cross multiply
    671.43x = 925.34 × 496.83
  4. Step 4: Simplify right side
    671.43x = 459,734.19
  5. Step 5: Solve for x
    x = 459,734.19/671.43
  6. Step 6: Final answer
    x = 684.71

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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.