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Finding the Fourth Proportional to 490.42, 735.18 and 285.09

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Solution

The fourth proportional to 490.42, 735.18 and 285.09 is: 427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 735.18 = 285.09 : x
  2. Step 2: Convert to fraction form
    490.42/735.18 = 285.09/x
  3. Step 3: Cross multiply
    490.42x = 735.18 × 285.09
  4. Step 4: Simplify right side
    490.42x = 209,592.47
  5. Step 5: Solve for x
    x = 209,592.47/490.42
  6. Step 6: Final answer
    x = 427.37

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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.