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Finding the Fourth Proportional to 527.18, 789.44 and 321.12

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Solution

The fourth proportional to 527.18, 789.44 and 321.12 is: 480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.18 : 789.44 = 321.12 : x
  2. Step 2: Convert to fraction form
    527.18/789.44 = 321.12/x
  3. Step 3: Cross multiply
    527.18x = 789.44 × 321.12
  4. Step 4: Simplify right side
    527.18x = 253,503.37
  5. Step 5: Solve for x
    x = 253,503.37/527.18
  6. Step 6: Final answer
    x = 480.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.