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Finding the Fourth Proportional to 674.25, 930.56 and 441.87

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Solution

The fourth proportional to 674.25, 930.56 and 441.87 is: 609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.25 : 930.56 = 441.87 : x
  2. Step 2: Convert to fraction form
    674.25/930.56 = 441.87/x
  3. Step 3: Cross multiply
    674.25x = 930.56 × 441.87
  4. Step 4: Simplify right side
    674.25x = 411,184.34
  5. Step 5: Solve for x
    x = 411,184.34/674.25
  6. Step 6: Final answer
    x = 609.84

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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.