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Finding the Fourth Proportional to 527.19, 789.17 and 449.43

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Solution

The fourth proportional to 527.19, 789.17 and 449.43 is: 672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.19 : 789.17 = 449.43 : x
  2. Step 2: Convert to fraction form
    527.19/789.17 = 449.43/x
  3. Step 3: Cross multiply
    527.19x = 789.17 × 449.43
  4. Step 4: Simplify right side
    527.19x = 354,674.43
  5. Step 5: Solve for x
    x = 354,674.43/527.19
  6. Step 6: Final answer
    x = 672.76

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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.