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Finding the Fourth Proportional to 362.38, 500.25 and 238.05

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Solution

The fourth proportional to 362.38, 500.25 and 238.05 is: 328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.38 : 500.25 = 238.05 : x
  2. Step 2: Convert to fraction form
    362.38/500.25 = 238.05/x
  3. Step 3: Cross multiply
    362.38x = 500.25 × 238.05
  4. Step 4: Simplify right side
    362.38x = 119,084.51
  5. Step 5: Solve for x
    x = 119,084.51/362.38
  6. Step 6: Final answer
    x = 328.62

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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.