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Finding the Fourth Proportional to 527.32, 791.34 and 253.48

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Solution

The fourth proportional to 527.32, 791.34 and 253.48 is: 380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.32 : 791.34 = 253.48 : x
  2. Step 2: Convert to fraction form
    527.32/791.34 = 253.48/x
  3. Step 3: Cross multiply
    527.32x = 791.34 × 253.48
  4. Step 4: Simplify right side
    527.32x = 200,588.86
  5. Step 5: Solve for x
    x = 200,588.86/527.32
  6. Step 6: Final answer
    x = 380.39

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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.