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Finding the Fourth Proportional to 354.43, 489.23 and 230.43

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Solution

The fourth proportional to 354.43, 489.23 and 230.43 is: 318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.43 : 489.23 = 230.43 : x
  2. Step 2: Convert to fraction form
    354.43/489.23 = 230.43/x
  3. Step 3: Cross multiply
    354.43x = 489.23 × 230.43
  4. Step 4: Simplify right side
    354.43x = 112,733.27
  5. Step 5: Solve for x
    x = 112,733.27/354.43
  6. Step 6: Final answer
    x = 318.07

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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.