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Finding the Fourth Proportional to 490.24, 735.48 and 409.78

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Solution

The fourth proportional to 490.24, 735.48 and 409.78 is: 614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.24 : 735.48 = 409.78 : x
  2. Step 2: Convert to fraction form
    490.24/735.48 = 409.78/x
  3. Step 3: Cross multiply
    490.24x = 735.48 × 409.78
  4. Step 4: Simplify right side
    490.24x = 301,384.99
  5. Step 5: Solve for x
    x = 301,384.99/490.24
  6. Step 6: Final answer
    x = 614.77

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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.