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Finding the Fourth Proportional to 354.44, 489.08 and 238

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Solution

The fourth proportional to 354.44, 489.08 and 238 is: 328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.44 : 489.08 = 238 : x
  2. Step 2: Convert to fraction form
    354.44/489.08 = 238/x
  3. Step 3: Cross multiply
    354.44x = 489.08 × 238
  4. Step 4: Simplify right side
    354.44x = 116,401.04
  5. Step 5: Solve for x
    x = 116,401.04/354.44
  6. Step 6: Final answer
    x = 328.41

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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.