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Finding the Fourth Proportional to 490.53, 735.78 and 409.11

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Solution

The fourth proportional to 490.53, 735.78 and 409.11 is: 613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.53 : 735.78 = 409.11 : x
  2. Step 2: Convert to fraction form
    490.53/735.78 = 409.11/x
  3. Step 3: Cross multiply
    490.53x = 735.78 × 409.11
  4. Step 4: Simplify right side
    490.53x = 301,014.96
  5. Step 5: Solve for x
    x = 301,014.96/490.53
  6. Step 6: Final answer
    x = 613.65

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Why These Related Problems?

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