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Finding the Fourth Proportional to 527.52, 791.32 and 296.28

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Solution

The fourth proportional to 527.52, 791.32 and 296.28 is: 444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.52 : 791.32 = 296.28 : x
  2. Step 2: Convert to fraction form
    527.52/791.32 = 296.28/x
  3. Step 3: Cross multiply
    527.52x = 791.32 × 296.28
  4. Step 4: Simplify right side
    527.52x = 234,452.29
  5. Step 5: Solve for x
    x = 234,452.29/527.52
  6. Step 6: Final answer
    x = 444.44

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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.