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Finding the Fourth Proportional to 490.68, 735.30 and 478.53

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Solution

The fourth proportional to 490.68, 735.30 and 478.53 is: 717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.68 : 735.30 = 478.53 : x
  2. Step 2: Convert to fraction form
    490.68/735.30 = 478.53/x
  3. Step 3: Cross multiply
    490.68x = 735.30 × 478.53
  4. Step 4: Simplify right side
    490.68x = 351,863.11
  5. Step 5: Solve for x
    x = 351,863.11/490.68
  6. Step 6: Final answer
    x = 717.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.