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Finding the Fourth Proportional to 450.40, 674.76 and 257.44

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Solution

The fourth proportional to 450.40, 674.76 and 257.44 is: 385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.40 : 674.76 = 257.44 : x
  2. Step 2: Convert to fraction form
    450.40/674.76 = 257.44/x
  3. Step 3: Cross multiply
    450.40x = 674.76 × 257.44
  4. Step 4: Simplify right side
    450.40x = 173,710.21
  5. Step 5: Solve for x
    x = 173,710.21/450.40
  6. Step 6: Final answer
    x = 385.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.