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Finding the Fourth Proportional to 490.52, 735.08 and 285.16

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Solution

The fourth proportional to 490.52, 735.08 and 285.16 is: 427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.52 : 735.08 = 285.16 : x
  2. Step 2: Convert to fraction form
    490.52/735.08 = 285.16/x
  3. Step 3: Cross multiply
    490.52x = 735.08 × 285.16
  4. Step 4: Simplify right side
    490.52x = 209,615.41
  5. Step 5: Solve for x
    x = 209,615.41/490.52
  6. Step 6: Final answer
    x = 427.33

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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.