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Finding the Fourth Proportional to 490.84, 735.96 and 328.24

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Solution

The fourth proportional to 490.84, 735.96 and 328.24 is: 492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.84 : 735.96 = 328.24 : x
  2. Step 2: Convert to fraction form
    490.84/735.96 = 328.24/x
  3. Step 3: Cross multiply
    490.84x = 735.96 × 328.24
  4. Step 4: Simplify right side
    490.84x = 241,571.51
  5. Step 5: Solve for x
    x = 241,571.51/490.84
  6. Step 6: Final answer
    x = 492.16

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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.