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Finding the Fourth Proportional to 381.61, 526.57 and 234.22

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Solution

The fourth proportional to 381.61, 526.57 and 234.22 is: 323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.61 : 526.57 = 234.22 : x
  2. Step 2: Convert to fraction form
    381.61/526.57 = 234.22/x
  3. Step 3: Cross multiply
    381.61x = 526.57 × 234.22
  4. Step 4: Simplify right side
    381.61x = 123,333.23
  5. Step 5: Solve for x
    x = 123,333.23/381.61
  6. Step 6: Final answer
    x = 323.19

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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.