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Finding the Fourth Proportional to 381.59, 526.63 and 234.27

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Solution

The fourth proportional to 381.59, 526.63 and 234.27 is: 323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 526.63 = 234.27 : x
  2. Step 2: Convert to fraction form
    381.59/526.63 = 234.27/x
  3. Step 3: Cross multiply
    381.59x = 526.63 × 234.27
  4. Step 4: Simplify right side
    381.59x = 123,371.32
  5. Step 5: Solve for x
    x = 123,371.32/381.59
  6. Step 6: Final answer
    x = 323.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.