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Finding the Fourth Proportional to 378.05, 521.61 and 230.75

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Solution

The fourth proportional to 378.05, 521.61 and 230.75 is: 318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.05 : 521.61 = 230.75 : x
  2. Step 2: Convert to fraction form
    378.05/521.61 = 230.75/x
  3. Step 3: Cross multiply
    378.05x = 521.61 × 230.75
  4. Step 4: Simplify right side
    378.05x = 120,361.51
  5. Step 5: Solve for x
    x = 120,361.51/378.05
  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.