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Finding the Fourth Proportional to 489.48, 733.40 and 344.94

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Solution

The fourth proportional to 489.48, 733.40 and 344.94 is: 516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.48 : 733.40 = 344.94 : x
  2. Step 2: Convert to fraction form
    489.48/733.40 = 344.94/x
  3. Step 3: Cross multiply
    489.48x = 733.40 × 344.94
  4. Step 4: Simplify right side
    489.48x = 252,979.00
  5. Step 5: Solve for x
    x = 252,979.00/489.48
  6. Step 6: Final answer
    x = 516.83

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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.