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Finding the Fourth Proportional to 489.34, 733.36 and 269.64

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Solution

The fourth proportional to 489.34, 733.36 and 269.64 is: 404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.34 : 733.36 = 269.64 : x
  2. Step 2: Convert to fraction form
    489.34/733.36 = 269.64/x
  3. Step 3: Cross multiply
    489.34x = 733.36 × 269.64
  4. Step 4: Simplify right side
    489.34x = 197,743.19
  5. Step 5: Solve for x
    x = 197,743.19/489.34
  6. Step 6: Final answer
    x = 404.10

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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.