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Finding the Fourth Proportional to 490.23, 735.33 and 230.14

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Solution

The fourth proportional to 490.23, 735.33 and 230.14 is: 345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 735.33 = 230.14 : x
  2. Step 2: Convert to fraction form
    490.23/735.33 = 230.14/x
  3. Step 3: Cross multiply
    490.23x = 735.33 × 230.14
  4. Step 4: Simplify right side
    490.23x = 169,228.85
  5. Step 5: Solve for x
    x = 169,228.85/490.23
  6. Step 6: Final answer
    x = 345.20

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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.