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Finding the Fourth Proportional to 378.80, 523 and 231.48

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Solution

The fourth proportional to 378.80, 523 and 231.48 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.80 : 523 = 231.48 : x
  2. Step 2: Convert to fraction form
    378.80/523 = 231.48/x
  3. Step 3: Cross multiply
    378.80x = 523 × 231.48
  4. Step 4: Simplify right side
    378.80x = 121,064.04
  5. Step 5: Solve for x
    x = 121,064.04/378.80
  6. Step 6: Final answer
    x = 319.60

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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.