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Finding the Fourth Proportional to 378.36, 522 and 230.76

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Solution

The fourth proportional to 378.36, 522 and 230.76 is: 318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.36 : 522 = 230.76 : x
  2. Step 2: Convert to fraction form
    378.36/522 = 230.76/x
  3. Step 3: Cross multiply
    378.36x = 522 × 230.76
  4. Step 4: Simplify right side
    378.36x = 120,456.72
  5. Step 5: Solve for x
    x = 120,456.72/378.36
  6. Step 6: Final answer
    x = 318.37

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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.