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Finding the Fourth Proportional to 450, 675 and 257.64

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Solution

The fourth proportional to 450, 675 and 257.64 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 675 = 257.64 : x
  2. Step 2: Convert to fraction form
    450/675 = 257.64/x
  3. Step 3: Cross multiply
    450x = 675 × 257.64
  4. Step 4: Simplify right side
    450x = 173,907
  5. Step 5: Solve for x
    x = 173,907/450
  6. Step 6: Final answer
    x = 386.46

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Why These Related Problems?

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