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Finding the Fourth Proportional to 499.36, 747.43 and 267.67

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Solution

The fourth proportional to 499.36, 747.43 and 267.67 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.36 : 747.43 = 267.67 : x
  2. Step 2: Convert to fraction form
    499.36/747.43 = 267.67/x
  3. Step 3: Cross multiply
    499.36x = 747.43 × 267.67
  4. Step 4: Simplify right side
    499.36x = 200,064.59
  5. Step 5: Solve for x
    x = 200,064.59/499.36
  6. Step 6: Final answer
    x = 400.64

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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.