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Finding the Fourth Proportional to 528.26, 791.15 and 267.84

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Solution

The fourth proportional to 528.26, 791.15 and 267.84 is: 401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.26 : 791.15 = 267.84 : x
  2. Step 2: Convert to fraction form
    528.26/791.15 = 267.84/x
  3. Step 3: Cross multiply
    528.26x = 791.15 × 267.84
  4. Step 4: Simplify right side
    528.26x = 211,900.28
  5. Step 5: Solve for x
    x = 211,900.28/528.26
  6. Step 6: Final answer
    x = 401.13

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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.