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Finding the Fourth Proportional to 378.53, 522.23 and 231.11

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Solution

The fourth proportional to 378.53, 522.23 and 231.11 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.53 : 522.23 = 231.11 : x
  2. Step 2: Convert to fraction form
    378.53/522.23 = 231.11/x
  3. Step 3: Cross multiply
    378.53x = 522.23 × 231.11
  4. Step 4: Simplify right side
    378.53x = 120,692.58
  5. Step 5: Solve for x
    x = 120,692.58/378.53
  6. Step 6: Final answer
    x = 318.85

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Why These Related Problems?

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