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Finding the Fourth Proportional to 382.46, 527.91 and 235.16

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Solution

The fourth proportional to 382.46, 527.91 and 235.16 is: 324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.46 : 527.91 = 235.16 : x
  2. Step 2: Convert to fraction form
    382.46/527.91 = 235.16/x
  3. Step 3: Cross multiply
    382.46x = 527.91 × 235.16
  4. Step 4: Simplify right side
    382.46x = 124,143.32
  5. Step 5: Solve for x
    x = 124,143.32/382.46
  6. Step 6: Final answer
    x = 324.59

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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.