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Finding the Fourth Proportional to 527.26, 791.12 and 267.50

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Solution

The fourth proportional to 527.26, 791.12 and 267.50 is: 401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.26 : 791.12 = 267.50 : x
  2. Step 2: Convert to fraction form
    527.26/791.12 = 267.50/x
  3. Step 3: Cross multiply
    527.26x = 791.12 × 267.50
  4. Step 4: Simplify right side
    527.26x = 211,624.60
  5. Step 5: Solve for x
    x = 211,624.60/527.26
  6. Step 6: Final answer
    x = 401.37

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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.