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Finding the Fourth Proportional to 449.56, 675.58 and 327.96

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Solution

The fourth proportional to 449.56, 675.58 and 327.96 is: 492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.56 : 675.58 = 327.96 : x
  2. Step 2: Convert to fraction form
    449.56/675.58 = 327.96/x
  3. Step 3: Cross multiply
    449.56x = 675.58 × 327.96
  4. Step 4: Simplify right side
    449.56x = 221,563.22
  5. Step 5: Solve for x
    x = 221,563.22/449.56
  6. Step 6: Final answer
    x = 492.84

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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.