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Finding the Fourth Proportional to 490.43, 729.39 and 478.12

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Solution

The fourth proportional to 490.43, 729.39 and 478.12 is: 711.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.43 : 729.39 = 478.12 : x
  2. Step 2: Convert to fraction form
    490.43/729.39 = 478.12/x
  3. Step 3: Cross multiply
    490.43x = 729.39 × 478.12
  4. Step 4: Simplify right side
    490.43x = 348,735.95
  5. Step 5: Solve for x
    x = 348,735.95/490.43
  6. Step 6: Final answer
    x = 711.08

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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.