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Finding the Fourth Proportional to 489.96, 734.54 and 229.83

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Solution

The fourth proportional to 489.96, 734.54 and 229.83 is: 344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.96 : 734.54 = 229.83 : x
  2. Step 2: Convert to fraction form
    489.96/734.54 = 229.83/x
  3. Step 3: Cross multiply
    489.96x = 734.54 × 229.83
  4. Step 4: Simplify right side
    489.96x = 168,815.42
  5. Step 5: Solve for x
    x = 168,815.42/489.96
  6. Step 6: Final answer
    x = 344.55

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