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Finding the Fourth Proportional to 527.79, 791.97 and 203.16

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Solution

The fourth proportional to 527.79, 791.97 and 203.16 is: 304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.79 : 791.97 = 203.16 : x
  2. Step 2: Convert to fraction form
    527.79/791.97 = 203.16/x
  3. Step 3: Cross multiply
    527.79x = 791.97 × 203.16
  4. Step 4: Simplify right side
    527.79x = 160,896.63
  5. Step 5: Solve for x
    x = 160,896.63/527.79
  6. Step 6: Final answer
    x = 304.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.