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Finding the Fourth Proportional to 378.70, 522.43 and 229.38

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Solution

The fourth proportional to 378.70, 522.43 and 229.38 is: 316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.70 : 522.43 = 229.38 : x
  2. Step 2: Convert to fraction form
    378.70/522.43 = 229.38/x
  3. Step 3: Cross multiply
    378.70x = 522.43 × 229.38
  4. Step 4: Simplify right side
    378.70x = 119,834.99
  5. Step 5: Solve for x
    x = 119,834.99/378.70
  6. Step 6: Final answer
    x = 316.44

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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.