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Finding the Fourth Proportional to 489.85, 675.84 and 443.07

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Solution

The fourth proportional to 489.85, 675.84 and 443.07 is: 611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.85 : 675.84 = 443.07 : x
  2. Step 2: Convert to fraction form
    489.85/675.84 = 443.07/x
  3. Step 3: Cross multiply
    489.85x = 675.84 × 443.07
  4. Step 4: Simplify right side
    489.85x = 299,446.09
  5. Step 5: Solve for x
    x = 299,446.09/489.85
  6. Step 6: Final answer
    x = 611.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.