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Finding the Fourth Proportional to 484.56, 725.76 and 267.84

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Solution

The fourth proportional to 484.56, 725.76 and 267.84 is: 401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.56 : 725.76 = 267.84 : x
  2. Step 2: Convert to fraction form
    484.56/725.76 = 267.84/x
  3. Step 3: Cross multiply
    484.56x = 725.76 × 267.84
  4. Step 4: Simplify right side
    484.56x = 194,387.56
  5. Step 5: Solve for x
    x = 194,387.56/484.56
  6. Step 6: Final answer
    x = 401.16

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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.