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Finding the Fourth Proportional to 381.79, 526.89 and 234.47

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Solution

The fourth proportional to 381.79, 526.89 and 234.47 is: 323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.79 : 526.89 = 234.47 : x
  2. Step 2: Convert to fraction form
    381.79/526.89 = 234.47/x
  3. Step 3: Cross multiply
    381.79x = 526.89 × 234.47
  4. Step 4: Simplify right side
    381.79x = 123,540.84
  5. Step 5: Solve for x
    x = 123,540.84/381.79
  6. Step 6: Final answer
    x = 323.58

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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.