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Finding the Fourth Proportional to 527.85, 791.82 and 311.13

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Solution

The fourth proportional to 527.85, 791.82 and 311.13 is: 466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.85 : 791.82 = 311.13 : x
  2. Step 2: Convert to fraction form
    527.85/791.82 = 311.13/x
  3. Step 3: Cross multiply
    527.85x = 791.82 × 311.13
  4. Step 4: Simplify right side
    527.85x = 246,358.96
  5. Step 5: Solve for x
    x = 246,358.96/527.85
  6. Step 6: Final answer
    x = 466.72

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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.