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Finding the Fourth Proportional to 362.98, 500.38 and 238.34

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Solution

The fourth proportional to 362.98, 500.38 and 238.34 is: 328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.98 : 500.38 = 238.34 : x
  2. Step 2: Convert to fraction form
    362.98/500.38 = 238.34/x
  3. Step 3: Cross multiply
    362.98x = 500.38 × 238.34
  4. Step 4: Simplify right side
    362.98x = 119,261.22
  5. Step 5: Solve for x
    x = 119,261.22/362.98
  6. Step 6: Final answer
    x = 328.56

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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.