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Finding the Fourth Proportional to 449.54, 675.35 and 267.07

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Solution

The fourth proportional to 449.54, 675.35 and 267.07 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.54 : 675.35 = 267.07 : x
  2. Step 2: Convert to fraction form
    449.54/675.35 = 267.07/x
  3. Step 3: Cross multiply
    449.54x = 675.35 × 267.07
  4. Step 4: Simplify right side
    449.54x = 180,365.72
  5. Step 5: Solve for x
    x = 180,365.72/449.54
  6. Step 6: Final answer
    x = 401.22

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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.