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Finding the Fourth Proportional to 354.26, 489.13 and 229.98

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Solution

The fourth proportional to 354.26, 489.13 and 229.98 is: 317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.26 : 489.13 = 229.98 : x
  2. Step 2: Convert to fraction form
    354.26/489.13 = 229.98/x
  3. Step 3: Cross multiply
    354.26x = 489.13 × 229.98
  4. Step 4: Simplify right side
    354.26x = 112,490.12
  5. Step 5: Solve for x
    x = 112,490.12/354.26
  6. Step 6: Final answer
    x = 317.54

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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.