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Finding the Fourth Proportional to 382.02, 527.15 and 234.62

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Solution

The fourth proportional to 382.02, 527.15 and 234.62 is: 323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.02 : 527.15 = 234.62 : x
  2. Step 2: Convert to fraction form
    382.02/527.15 = 234.62/x
  3. Step 3: Cross multiply
    382.02x = 527.15 × 234.62
  4. Step 4: Simplify right side
    382.02x = 123,681.84
  5. Step 5: Solve for x
    x = 123,681.84/382.02
  6. Step 6: Final answer
    x = 323.76

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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.