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Finding the Fourth Proportional to 489.26, 733.62 and 297.02

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Solution

The fourth proportional to 489.26, 733.62 and 297.02 is: 445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.26 : 733.62 = 297.02 : x
  2. Step 2: Convert to fraction form
    489.26/733.62 = 297.02/x
  3. Step 3: Cross multiply
    489.26x = 733.62 × 297.02
  4. Step 4: Simplify right side
    489.26x = 217,899.81
  5. Step 5: Solve for x
    x = 217,899.81/489.26
  6. Step 6: Final answer
    x = 445.37

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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.