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Finding the Fourth Proportional to 483.96, 726.12 and 267.30

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Solution

The fourth proportional to 483.96, 726.12 and 267.30 is: 401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.96 : 726.12 = 267.30 : x
  2. Step 2: Convert to fraction form
    483.96/726.12 = 267.30/x
  3. Step 3: Cross multiply
    483.96x = 726.12 × 267.30
  4. Step 4: Simplify right side
    483.96x = 194,091.88
  5. Step 5: Solve for x
    x = 194,091.88/483.96
  6. Step 6: Final answer
    x = 401.05

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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.