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Finding the Fourth Proportional to 589.20, 812.56 and 490.80

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Solution

The fourth proportional to 589.20, 812.56 and 490.80 is: 676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 812.56 = 490.80 : x
  2. Step 2: Convert to fraction form
    589.20/812.56 = 490.80/x
  3. Step 3: Cross multiply
    589.20x = 812.56 × 490.80
  4. Step 4: Simplify right side
    589.20x = 398,804.45
  5. Step 5: Solve for x
    x = 398,804.45/589.20
  6. Step 6: Final answer
    x = 676.86

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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.