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Finding the Fourth Proportional to 527.56, 791.10 and 271.24

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Solution

The fourth proportional to 527.56, 791.10 and 271.24 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 791.10 = 271.24 : x
  2. Step 2: Convert to fraction form
    527.56/791.10 = 271.24/x
  3. Step 3: Cross multiply
    527.56x = 791.10 × 271.24
  4. Step 4: Simplify right side
    527.56x = 214,577.96
  5. Step 5: Solve for x
    x = 214,577.96/527.56
  6. Step 6: Final answer
    x = 406.74

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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.