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Finding the Fourth Proportional to 378.48, 522.14 and 231.04

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Solution

The fourth proportional to 378.48, 522.14 and 231.04 is: 318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 522.14 = 231.04 : x
  2. Step 2: Convert to fraction form
    378.48/522.14 = 231.04/x
  3. Step 3: Cross multiply
    378.48x = 522.14 × 231.04
  4. Step 4: Simplify right side
    378.48x = 120,635.23
  5. Step 5: Solve for x
    x = 120,635.23/378.48
  6. Step 6: Final answer
    x = 318.74

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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.