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Finding the Fourth Proportional to 489.29, 674.67 and 427.02

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Solution

The fourth proportional to 489.29, 674.67 and 427.02 is: 588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.29 : 674.67 = 427.02 : x
  2. Step 2: Convert to fraction form
    489.29/674.67 = 427.02/x
  3. Step 3: Cross multiply
    489.29x = 674.67 × 427.02
  4. Step 4: Simplify right side
    489.29x = 288,097.58
  5. Step 5: Solve for x
    x = 288,097.58/489.29
  6. Step 6: Final answer
    x = 588.81

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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.