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Finding the Fourth Proportional to 674.22, 928.89 and 505.44

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Solution

The fourth proportional to 674.22, 928.89 and 505.44 is: 696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.22 : 928.89 = 505.44 : x
  2. Step 2: Convert to fraction form
    674.22/928.89 = 505.44/x
  3. Step 3: Cross multiply
    674.22x = 928.89 × 505.44
  4. Step 4: Simplify right side
    674.22x = 469,498.16
  5. Step 5: Solve for x
    x = 469,498.16/674.22
  6. Step 6: Final answer
    x = 696.36

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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.