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Finding the Fourth Proportional to 381, 525.70 and 231.58

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Solution

The fourth proportional to 381, 525.70 and 231.58 is: 319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 525.70 = 231.58 : x
  2. Step 2: Convert to fraction form
    381/525.70 = 231.58/x
  3. Step 3: Cross multiply
    381x = 525.70 × 231.58
  4. Step 4: Simplify right side
    381x = 121,741.61
  5. Step 5: Solve for x
    x = 121,741.61/381
  6. Step 6: Final answer
    x = 319.53

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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.