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Finding the Fourth Proportional to 489.03, 733.27 and 431.38

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Solution

The fourth proportional to 489.03, 733.27 and 431.38 is: 646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.03 : 733.27 = 431.38 : x
  2. Step 2: Convert to fraction form
    489.03/733.27 = 431.38/x
  3. Step 3: Cross multiply
    489.03x = 733.27 × 431.38
  4. Step 4: Simplify right side
    489.03x = 316,318.01
  5. Step 5: Solve for x
    x = 316,318.01/489.03
  6. Step 6: Final answer
    x = 646.83

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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.