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Finding the Fourth Proportional to 490.80, 735.54 and 285.48

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Solution

The fourth proportional to 490.80, 735.54 and 285.48 is: 427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.80 : 735.54 = 285.48 : x
  2. Step 2: Convert to fraction form
    490.80/735.54 = 285.48/x
  3. Step 3: Cross multiply
    490.80x = 735.54 × 285.48
  4. Step 4: Simplify right side
    490.80x = 209,981.96
  5. Step 5: Solve for x
    x = 209,981.96/490.80
  6. Step 6: Final answer
    x = 427.84

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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.