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Finding the Fourth Proportional to 378.62, 522.48 and 231.40

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Solution

The fourth proportional to 378.62, 522.48 and 231.40 is: 319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.62 : 522.48 = 231.40 : x
  2. Step 2: Convert to fraction form
    378.62/522.48 = 231.40/x
  3. Step 3: Cross multiply
    378.62x = 522.48 × 231.40
  4. Step 4: Simplify right side
    378.62x = 120,901.87
  5. Step 5: Solve for x
    x = 120,901.87/378.62
  6. Step 6: Final answer
    x = 319.32

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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.