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Finding the Fourth Proportional to 527.43, 791.14 and 284.43

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Solution

The fourth proportional to 527.43, 791.14 and 284.43 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.43 : 791.14 = 284.43 : x
  2. Step 2: Convert to fraction form
    527.43/791.14 = 284.43/x
  3. Step 3: Cross multiply
    527.43x = 791.14 × 284.43
  4. Step 4: Simplify right side
    527.43x = 225,023.95
  5. Step 5: Solve for x
    x = 225,023.95/527.43
  6. Step 6: Final answer
    x = 426.64

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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.