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Finding the Fourth Proportional to 527.39, 789.87 and 253.67

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Solution

The fourth proportional to 527.39, 789.87 and 253.67 is: 379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.39 : 789.87 = 253.67 : x
  2. Step 2: Convert to fraction form
    527.39/789.87 = 253.67/x
  3. Step 3: Cross multiply
    527.39x = 789.87 × 253.67
  4. Step 4: Simplify right side
    527.39x = 200,362.37
  5. Step 5: Solve for x
    x = 200,362.37/527.39
  6. Step 6: Final answer
    x = 379.92

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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.