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Finding the Fourth Proportional to 382.14, 527.06 and 234.72

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Solution

The fourth proportional to 382.14, 527.06 and 234.72 is: 323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 527.06 = 234.72 : x
  2. Step 2: Convert to fraction form
    382.14/527.06 = 234.72/x
  3. Step 3: Cross multiply
    382.14x = 527.06 × 234.72
  4. Step 4: Simplify right side
    382.14x = 123,712.11
  5. Step 5: Solve for x
    x = 123,712.11/382.14
  6. Step 6: Final answer
    x = 323.74

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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.