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Finding the Fourth Proportional to 490.07, 735.12 and 328.07

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Solution

The fourth proportional to 490.07, 735.12 and 328.07 is: 492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.07 : 735.12 = 328.07 : x
  2. Step 2: Convert to fraction form
    490.07/735.12 = 328.07/x
  3. Step 3: Cross multiply
    490.07x = 735.12 × 328.07
  4. Step 4: Simplify right side
    490.07x = 241,170.82
  5. Step 5: Solve for x
    x = 241,170.82/490.07
  6. Step 6: Final answer
    x = 492.12

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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.