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Finding the Fourth Proportional to 409.38, 613.48 and 236.04

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Solution

The fourth proportional to 409.38, 613.48 and 236.04 is: 353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 613.48 = 236.04 : x
  2. Step 2: Convert to fraction form
    409.38/613.48 = 236.04/x
  3. Step 3: Cross multiply
    409.38x = 613.48 × 236.04
  4. Step 4: Simplify right side
    409.38x = 144,805.82
  5. Step 5: Solve for x
    x = 144,805.82/409.38
  6. Step 6: Final answer
    x = 353.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.