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Finding the Fourth Proportional to 527.45, 791.21 and 180.64

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Solution

The fourth proportional to 527.45, 791.21 and 180.64 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.45 : 791.21 = 180.64 : x
  2. Step 2: Convert to fraction form
    527.45/791.21 = 180.64/x
  3. Step 3: Cross multiply
    527.45x = 791.21 × 180.64
  4. Step 4: Simplify right side
    527.45x = 142,921.29
  5. Step 5: Solve for x
    x = 142,921.29/527.45
  6. Step 6: Final answer
    x = 270.97

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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.