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Finding the Fourth Proportional to 381.22, 526.13 and 233.94

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Solution

The fourth proportional to 381.22, 526.13 and 233.94 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.22 : 526.13 = 233.94 : x
  2. Step 2: Convert to fraction form
    381.22/526.13 = 233.94/x
  3. Step 3: Cross multiply
    381.22x = 526.13 × 233.94
  4. Step 4: Simplify right side
    381.22x = 123,079.05
  5. Step 5: Solve for x
    x = 123,079.05/381.22
  6. Step 6: Final answer
    x = 322.86

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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.