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Finding the Fourth Proportional to 589.02, 812.97 and 490.61

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Solution

The fourth proportional to 589.02, 812.97 and 490.61 is: 677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 812.97 = 490.61 : x
  2. Step 2: Convert to fraction form
    589.02/812.97 = 490.61/x
  3. Step 3: Cross multiply
    589.02x = 812.97 × 490.61
  4. Step 4: Simplify right side
    589.02x = 398,847.15
  5. Step 5: Solve for x
    x = 398,847.15/589.02
  6. Step 6: Final answer
    x = 677.14

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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.