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Finding the Fourth Proportional to 378.11, 521.64 and 230.69

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Solution

The fourth proportional to 378.11, 521.64 and 230.69 is: 318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.11 : 521.64 = 230.69 : x
  2. Step 2: Convert to fraction form
    378.11/521.64 = 230.69/x
  3. Step 3: Cross multiply
    378.11x = 521.64 × 230.69
  4. Step 4: Simplify right side
    378.11x = 120,334.52
  5. Step 5: Solve for x
    x = 120,334.52/378.11
  6. Step 6: Final answer
    x = 318.26

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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.