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Finding the Fourth Proportional to 527.20, 791.12 and 238.64

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Solution

The fourth proportional to 527.20, 791.12 and 238.64 is: 358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.20 : 791.12 = 238.64 : x
  2. Step 2: Convert to fraction form
    527.20/791.12 = 238.64/x
  3. Step 3: Cross multiply
    527.20x = 791.12 × 238.64
  4. Step 4: Simplify right side
    527.20x = 188,792.88
  5. Step 5: Solve for x
    x = 188,792.88/527.20
  6. Step 6: Final answer
    x = 358.10

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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.