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Finding the Fourth Proportional to 490.57, 736.64 and 285.29

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Solution

The fourth proportional to 490.57, 736.64 and 285.29 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.57 : 736.64 = 285.29 : x
  2. Step 2: Convert to fraction form
    490.57/736.64 = 285.29/x
  3. Step 3: Cross multiply
    490.57x = 736.64 × 285.29
  4. Step 4: Simplify right side
    490.57x = 210,156.35
  5. Step 5: Solve for x
    x = 210,156.35/490.57
  6. Step 6: Final answer
    x = 428.39

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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.