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Finding the Fourth Proportional to 379.32, 523.32 and 263.04

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Solution

The fourth proportional to 379.32, 523.32 and 263.04 is: 362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.32 : 523.32 = 263.04 : x
  2. Step 2: Convert to fraction form
    379.32/523.32 = 263.04/x
  3. Step 3: Cross multiply
    379.32x = 523.32 × 263.04
  4. Step 4: Simplify right side
    379.32x = 137,654.09
  5. Step 5: Solve for x
    x = 137,654.09/379.32
  6. Step 6: Final answer
    x = 362.90

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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.