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Finding the Fourth Proportional to 527.72, 727.11 and 380.09

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Solution

The fourth proportional to 527.72, 727.11 and 380.09 is: 523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.72 : 727.11 = 380.09 : x
  2. Step 2: Convert to fraction form
    527.72/727.11 = 380.09/x
  3. Step 3: Cross multiply
    527.72x = 727.11 × 380.09
  4. Step 4: Simplify right side
    527.72x = 276,369.06
  5. Step 5: Solve for x
    x = 276,369.06/527.72
  6. Step 6: Final answer
    x = 523.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.