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Finding the Fourth Proportional to 484.40, 725.37 and 267.74

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Solution

The fourth proportional to 484.40, 725.37 and 267.74 is: 400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.40 : 725.37 = 267.74 : x
  2. Step 2: Convert to fraction form
    484.40/725.37 = 267.74/x
  3. Step 3: Cross multiply
    484.40x = 725.37 × 267.74
  4. Step 4: Simplify right side
    484.40x = 194,210.56
  5. Step 5: Solve for x
    x = 194,210.56/484.40
  6. Step 6: Final answer
    x = 400.93

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