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Finding the Fourth Proportional to 490.23, 729.90 and 487.80

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Solution

The fourth proportional to 490.23, 729.90 and 487.80 is: 726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 729.90 = 487.80 : x
  2. Step 2: Convert to fraction form
    490.23/729.90 = 487.80/x
  3. Step 3: Cross multiply
    490.23x = 729.90 × 487.80
  4. Step 4: Simplify right side
    490.23x = 356,045.22
  5. Step 5: Solve for x
    x = 356,045.22/490.23
  6. Step 6: Final answer
    x = 726.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.