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Finding the Fourth Proportional to 378.44, 522.30 and 231.10

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Solution

The fourth proportional to 378.44, 522.30 and 231.10 is: 318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 522.30 = 231.10 : x
  2. Step 2: Convert to fraction form
    378.44/522.30 = 231.10/x
  3. Step 3: Cross multiply
    378.44x = 522.30 × 231.10
  4. Step 4: Simplify right side
    378.44x = 120,703.53
  5. Step 5: Solve for x
    x = 120,703.53/378.44
  6. Step 6: Final answer
    x = 318.95

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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.