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Finding the Fourth Proportional to 527.60, 791.62 and 253.75

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Solution

The fourth proportional to 527.60, 791.62 and 253.75 is: 380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.60 : 791.62 = 253.75 : x
  2. Step 2: Convert to fraction form
    527.60/791.62 = 253.75/x
  3. Step 3: Cross multiply
    527.60x = 791.62 × 253.75
  4. Step 4: Simplify right side
    527.60x = 200,873.58
  5. Step 5: Solve for x
    x = 200,873.58/527.60
  6. Step 6: Final answer
    x = 380.73

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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.